0.11/0.25	% Problem    : SLH0244^1 : TPTP v8.2.0. Released v8.2.0.
0.11/0.27	% Command    : run_E %s %d THM
0.28/0.48	% Computer : n015.cluster.edu
0.28/0.48	% Model    : x86_64 x86_64
0.28/0.48	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.28/0.48	% Memory   : 8042.1875MB
0.28/0.48	% OS       : Linux 3.10.0-693.el7.x86_64
0.28/0.48	% CPULimit   : 30
0.28/0.48	% WCLimit    : 30
0.28/0.48	% DateTime   : Mon Jul  3 08:38:10 EDT 2023
0.28/0.48	% CPUTime    : 
0.37/0.61	The problem SPC is TH0_THM_EQU_NAR
0.37/0.61	Running higher-order on 1 cores theorem proving
0.37/0.61	Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792
0.37/0.61	# Version: 3.0pre003-ho
2.82/3.06	# partial match(1): HSLSSMSSSSSNHFA
2.82/3.06	# Preprocessing class: HMLSSMSSSSSNHFA.
2.82/3.06	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.82/3.06	# Starting new_ho_10 with 30s (1) cores
2.82/3.06	# new_ho_10 with pid 6149 completed with status 0
2.82/3.06	# Result found by new_ho_10
2.82/3.06	# partial match(1): HSLSSMSSSSSNHFA
2.82/3.06	# Preprocessing class: HMLSSMSSSSSNHFA.
2.82/3.06	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.82/3.06	# Starting new_ho_10 with 30s (1) cores
2.82/3.06	# SinE strategy is gf600_h_gu_R05_F100_L20000
2.82/3.06	# ...ProofStateSinE()=1256/1308
2.82/3.06	# Search class: HGHSM-SMLM32-MHFFFSBC
2.82/3.06	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
2.82/3.06	# Starting ehoh_best8 with 17s (1) cores
2.82/3.06	# ehoh_best8 with pid 6206 completed with status 0
2.82/3.06	# Result found by ehoh_best8
2.82/3.06	# partial match(1): HSLSSMSSSSSNHFA
2.82/3.06	# Preprocessing class: HMLSSMSSSSSNHFA.
2.82/3.06	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.82/3.06	# Starting new_ho_10 with 30s (1) cores
2.82/3.06	# SinE strategy is gf600_h_gu_R05_F100_L20000
2.82/3.06	# ...ProofStateSinE()=1256/1308
2.82/3.06	# Search class: HGHSM-SMLM32-MHFFFSBC
2.82/3.06	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
2.82/3.06	# Starting ehoh_best8 with 17s (1) cores
2.82/3.06	# Preprocessing time       : 0.055 s
2.82/3.06	# Presaturation interreduction done
2.82/3.06	
2.82/3.06	# Proof found!
2.82/3.06	# SZS status Theorem
2.82/3.06	# SZS output start CNFRefutation
2.82/3.06	thf(decl_22, type, gbinomial_int: int > nat > int).
2.82/3.06	thf(decl_23, type, gbinomial_nat: nat > nat > nat).
2.82/3.06	thf(decl_24, type, bits_nth_bit: nat > nat > nat).
2.82/3.06	thf(decl_25, type, bits_nth_digit: nat > nat > nat > nat).
2.82/3.06	thf(decl_26, type, abs_abs_int: int > int).
2.82/3.06	thf(decl_27, type, minus_minus_int: int > int > int).
2.82/3.06	thf(decl_28, type, minus_minus_nat: nat > nat > nat).
2.82/3.06	thf(decl_29, type, one_one_int: int).
2.82/3.06	thf(decl_30, type, one_one_nat: nat).
2.82/3.06	thf(decl_31, type, plus_plus_int: int > int > int).
2.82/3.06	thf(decl_32, type, plus_plus_nat: nat > nat > nat).
2.82/3.06	thf(decl_33, type, times_times_int: int > int > int).
2.82/3.06	thf(decl_34, type, times_times_nat: nat > nat > nat).
2.82/3.06	thf(decl_35, type, zero_zero_int: int).
2.82/3.06	thf(decl_36, type, zero_zero_nat: nat).
2.82/3.06	thf(decl_37, type, if_int: $o > int > int > int).
2.82/3.06	thf(decl_38, type, if_nat: $o > nat > nat > nat).
2.82/3.06	thf(decl_39, type, suc: nat > nat).
2.82/3.06	thf(decl_40, type, semiri1314217659103216013at_int: nat > int).
2.82/3.06	thf(decl_41, type, semiri1316708129612266289at_nat: nat > nat).
2.82/3.06	thf(decl_42, type, ord_less_int: int > int > $o).
2.82/3.06	thf(decl_43, type, ord_less_nat: nat > nat > $o).
2.82/3.06	thf(decl_44, type, ord_less_eq_int: int > int > $o).
2.82/3.06	thf(decl_45, type, ord_less_eq_nat: nat > nat > $o).
2.82/3.06	thf(decl_46, type, power_power_int: int > nat > int).
2.82/3.06	thf(decl_47, type, power_power_nat: nat > nat > nat).
2.82/3.06	thf(decl_48, type, divide_divide_int: int > int > int).
2.82/3.06	thf(decl_49, type, divide_divide_nat: nat > nat > nat).
2.82/3.06	thf(decl_50, type, modulo_modulo_int: int > int > int).
2.82/3.06	thf(decl_51, type, modulo_modulo_nat: nat > nat > nat).
2.82/3.06	thf(decl_52, type, a: nat).
2.82/3.06	thf(decl_53, type, b: nat).
2.82/3.06	thf(decl_54, type, k: nat).
2.82/3.06	thf(decl_55, type, esk1_1: (nat > $o) > nat).
2.82/3.06	thf(decl_56, type, esk2_1: (nat > $o) > nat).
2.82/3.06	thf(decl_57, type, esk3_3: nat > nat > (nat > $o) > nat).
2.82/3.06	thf(decl_58, type, esk4_3: nat > nat > (nat > $o) > nat).
2.82/3.06	thf(decl_59, type, esk5_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_60, type, esk6_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_61, type, esk7_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_62, type, esk8_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_63, type, esk9_2: nat > nat > nat).
2.82/3.06	thf(decl_64, type, esk10_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_65, type, esk11_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_66, type, esk12_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_67, type, esk13_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_68, type, esk14_2: nat > nat > nat).
2.82/3.06	thf(decl_69, type, esk15_2: nat > nat > nat).
2.82/3.06	thf(decl_70, type, esk16_1: (nat > $o) > nat).
2.82/3.06	thf(decl_71, type, esk17_1: (nat > nat) > nat).
2.82/3.06	thf(decl_72, type, esk18_1: (nat > nat) > nat).
2.82/3.06	thf(decl_73, type, esk19_1: (nat > nat) > nat).
2.82/3.06	thf(decl_74, type, esk20_1: (nat > int) > nat).
2.82/3.06	thf(decl_75, type, esk21_1: (nat > nat) > nat).
2.82/3.06	thf(decl_76, type, esk22_1: (nat > int) > nat).
2.82/3.06	thf(decl_77, type, esk23_2: nat > nat > nat).
2.82/3.06	thf(decl_78, type, esk24_1: nat > nat).
2.82/3.06	thf(decl_79, type, esk25_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_80, type, esk26_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_81, type, esk27_1: nat > nat).
2.82/3.06	thf(decl_82, type, esk28_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_83, type, esk29_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_84, type, esk30_3: nat > nat > (nat > $o) > nat).
2.82/3.06	thf(decl_85, type, esk31_3: nat > nat > (nat > $o) > nat).
2.82/3.06	thf(decl_86, type, esk32_2: (nat > $o) > nat > nat).
2.82/3.06	thf(decl_87, type, esk33_4: (nat > $o) > nat > nat > nat > nat).
2.82/3.06	thf(decl_88, type, esk34_2: (nat > $o) > nat > nat).
2.82/3.06	thf(decl_89, type, esk35_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_90, type, esk36_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_91, type, esk37_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_92, type, esk38_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_93, type, esk39_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_94, type, esk40_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_95, type, esk41_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_96, type, esk42_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_97, type, esk43_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_98, type, esk44_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_99, type, esk45_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_100, type, esk46_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_101, type, esk47_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_102, type, esk48_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_103, type, esk49_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_104, type, esk50_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_105, type, esk51_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_106, type, esk52_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_107, type, esk53_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_108, type, esk54_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_109, type, esk55_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_110, type, esk56_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_111, type, esk57_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_112, type, esk58_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_113, type, esk59_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_114, type, esk60_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_115, type, esk61_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_116, type, esk62_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_117, type, esk63_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_118, type, esk64_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_119, type, esk65_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_120, type, esk66_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_121, type, esk67_1: (nat > $o) > nat).
2.82/3.06	thf(decl_122, type, esk68_2: (nat > $o) > nat > nat).
2.82/3.06	thf(decl_123, type, esk69_1: (nat > $o) > nat).
2.82/3.06	thf(decl_124, type, esk70_1: (nat > $o) > nat).
2.82/3.06	thf(decl_125, type, esk71_1: nat > nat).
2.82/3.06	thf(decl_126, type, esk72_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_127, type, esk73_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_128, type, esk74_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_129, type, esk75_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_130, type, esk76_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_131, type, esk77_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_132, type, esk78_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_133, type, esk79_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_134, type, esk80_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_135, type, esk81_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_136, type, esk82_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_137, type, esk83_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_138, type, esk84_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_139, type, esk85_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_140, type, esk86_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_141, type, esk87_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_142, type, esk88_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_143, type, esk89_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_144, type, esk90_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_145, type, esk91_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_146, type, esk92_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_147, type, esk93_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_148, type, esk94_3: nat > nat > (nat > $o) > nat).
2.82/3.06	thf(decl_149, type, esk95_4: nat > nat > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_150, type, esk96_1: nat > nat).
2.82/3.06	thf(decl_151, type, esk97_1: nat > nat).
2.82/3.06	thf(decl_152, type, esk98_1: nat > nat).
2.82/3.06	thf(decl_153, type, esk99_1: nat > nat).
2.82/3.06	thf(decl_154, type, esk100_1: nat > nat).
2.82/3.06	thf(decl_155, type, esk101_3: (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_156, type, esk102_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_157, type, esk103_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
2.82/3.06	thf(decl_158, type, esk104_3: (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_159, type, esk105_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_160, type, esk106_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
2.82/3.06	thf(decl_161, type, esk107_1: nat > nat).
2.82/3.06	thf(decl_162, type, esk108_1: nat > nat).
2.82/3.06	thf(decl_163, type, esk109_1: nat > nat).
2.82/3.06	thf(decl_164, type, esk110_1: nat > nat).
2.82/3.06	thf(decl_165, type, esk111_3: (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_166, type, esk112_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_167, type, esk113_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
2.82/3.06	thf(decl_168, type, esk114_3: (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_169, type, esk115_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
2.82/3.06	thf(decl_170, type, esk116_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
2.82/3.06	thf(decl_171, type, esk117_1: nat > nat).
2.82/3.06	thf(decl_172, type, esk118_1: nat > nat).
2.82/3.06	thf(decl_173, type, esk119_1: nat > nat).
2.82/3.06	thf(decl_174, type, esk120_3: (nat > $o) > nat > nat > nat).
2.82/3.06	thf(decl_175, type, esk121_2: nat > (nat > $o) > nat).
2.82/3.06	thf(decl_176, type, esk122_1: nat > nat).
2.82/3.06	thf(decl_177, type, esk123_1: (nat > $o) > nat).
2.82/3.06	thf(decl_178, type, esk124_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_179, type, esk125_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_180, type, esk126_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_181, type, esk127_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_182, type, esk128_1: (nat > $o) > nat).
2.82/3.06	thf(decl_183, type, esk129_1: nat > nat).
2.82/3.06	thf(decl_184, type, esk130_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_185, type, esk131_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_186, type, esk132_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_187, type, esk133_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_188, type, esk134_3: nat > nat > (nat > nat > $o) > nat).
2.82/3.06	thf(decl_189, type, esk135_3: nat > nat > (nat > $o) > nat).
2.82/3.06	thf(decl_190, type, esk136_1: (nat > $o) > nat).
2.82/3.06	thf(decl_191, type, esk137_2: nat > nat > nat).
2.82/3.06	thf(decl_192, type, esk138_2: (nat > $o) > nat > nat).
2.82/3.06	thf(decl_193, type, esk139_1: (nat > nat) > nat).
2.82/3.06	thf(decl_194, type, esk140_1: (nat > int) > nat).
2.82/3.06	thf(decl_195, type, esk141_1: (nat > nat) > nat).
2.82/3.06	thf(decl_196, type, esk142_1: (nat > int) > nat).
2.82/3.06	thf(decl_197, type, esk143_2: nat > (nat > int) > nat).
2.82/3.06	thf(decl_198, type, esk144_3: nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_199, type, esk145_3: nat > nat > (nat > int) > nat).
2.82/3.06	thf(decl_200, type, esk146_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_201, type, esk147_1: int > nat).
2.82/3.06	thf(decl_202, type, esk148_1: int > nat).
2.82/3.06	thf(decl_203, type, esk149_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_204, type, esk150_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_205, type, esk151_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_206, type, esk152_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_207, type, esk153_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_208, type, esk154_2: (nat > $o) > nat > nat).
2.82/3.06	thf(decl_209, type, esk155_1: (nat > $o) > nat).
2.82/3.06	thf(decl_210, type, esk156_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_211, type, esk157_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_212, type, esk158_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_213, type, esk159_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_214, type, esk160_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_215, type, esk161_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_216, type, esk162_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_217, type, esk163_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_218, type, esk164_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_219, type, esk165_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_220, type, esk166_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_221, type, esk167_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_222, type, esk168_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_223, type, esk169_4: nat > nat > (nat > nat) > nat > nat).
2.82/3.06	thf(decl_224, type, esk170_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_225, type, esk171_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_226, type, esk172_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_227, type, esk173_4: int > int > (int > nat) > nat > int).
2.82/3.06	thf(decl_228, type, esk174_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_229, type, esk175_4: nat > (nat > nat) > nat > nat > nat).
2.82/3.06	thf(decl_230, type, esk176_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_231, type, esk177_4: nat > (int > nat) > int > int > int).
2.82/3.06	thf(decl_232, type, esk178_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_233, type, esk179_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_234, type, esk180_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_235, type, esk181_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_236, type, esk182_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_237, type, esk183_1: (nat > nat > $o) > nat).
2.82/3.06	thf(decl_238, type, esk184_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_239, type, esk185_4: int > (nat > int) > nat > nat > nat).
2.82/3.06	thf(decl_240, type, esk186_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_241, type, esk187_4: nat > nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_242, type, esk188_2: nat > nat > nat).
2.82/3.06	thf(decl_243, type, esk189_2: nat > nat > nat).
2.82/3.06	thf(decl_244, type, esk190_2: nat > nat > nat).
2.82/3.06	thf(decl_245, type, esk191_2: nat > nat > nat).
2.82/3.06	thf(decl_246, type, esk192_3: nat > nat > nat > nat).
2.82/3.06	thf(decl_247, type, esk193_3: nat > nat > nat > nat).
2.82/3.06	thf(decl_248, type, esk194_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_249, type, esk195_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_250, type, esk196_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_251, type, esk197_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_252, type, esk198_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_253, type, esk199_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_254, type, esk200_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_255, type, esk201_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_256, type, esk202_1: (int > int > $o) > int).
2.82/3.06	thf(decl_257, type, esk203_1: (int > int > $o) > int).
2.82/3.06	thf(decl_258, type, esk204_1: (int > int > $o) > int).
2.82/3.06	thf(decl_259, type, esk205_1: (int > int > $o) > int).
2.82/3.06	thf(decl_260, type, esk206_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_261, type, esk207_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_262, type, esk208_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_263, type, esk209_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_264, type, esk210_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_265, type, esk211_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_266, type, esk212_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_267, type, esk213_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_268, type, esk214_3: int > int > (int > $o) > int).
2.82/3.06	thf(decl_269, type, esk215_4: int > int > (int > $o) > int > int).
2.82/3.06	thf(decl_270, type, esk216_1: int > int).
2.82/3.06	thf(decl_271, type, esk217_1: int > int).
2.82/3.06	thf(decl_272, type, esk218_1: int > int).
2.82/3.06	thf(decl_273, type, esk219_1: int > int).
2.82/3.06	thf(decl_274, type, esk220_1: int > nat).
2.82/3.06	thf(decl_275, type, esk221_1: int > nat).
2.82/3.06	thf(decl_276, type, esk222_3: int > int > (int > $o) > int).
2.82/3.06	thf(decl_277, type, esk223_2: int > (int > $o) > int).
2.82/3.06	thf(decl_278, type, esk224_2: nat > (nat > int) > nat).
2.82/3.06	thf(decl_279, type, esk225_3: nat > (nat > int) > int > nat).
2.82/3.06	thf(decl_280, type, esk226_2: int > (int > $o) > int).
2.82/3.06	thf(decl_281, type, esk227_2: int > (int > $o) > int).
2.82/3.06	thf(decl_282, type, esk228_4: int > (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_283, type, esk229_3: int > (int > $o) > (int > $o) > int).
2.82/3.06	thf(decl_284, type, esk230_2: int > (int > $o) > int).
2.82/3.06	thf(decl_285, type, esk231_2: int > (int > $o) > int).
2.82/3.06	thf(decl_286, type, esk232_4: int > (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_287, type, esk233_3: int > (int > $o) > (int > $o) > int).
2.82/3.06	thf(decl_288, type, esk234_2: int > int > int).
2.82/3.06	thf(decl_289, type, esk235_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_290, type, esk236_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_291, type, esk237_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_292, type, esk238_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_293, type, esk239_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_294, type, esk240_4: int > int > (int > int) > int > int).
2.82/3.06	thf(decl_295, type, esk241_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_296, type, esk242_4: int > (int > int) > int > int > int).
2.82/3.06	thf(decl_297, type, esk243_1: (int > int > $o) > int).
2.82/3.06	thf(decl_298, type, esk244_1: (int > int > $o) > int).
2.82/3.06	thf(decl_299, type, esk245_1: (int > int > $o) > int).
2.82/3.06	thf(decl_300, type, esk246_1: (int > int > $o) > int).
2.82/3.06	thf(decl_301, type, esk247_1: (int > int > $o) > int).
2.82/3.06	thf(decl_302, type, esk248_1: int > int).
2.82/3.06	thf(decl_303, type, esk249_1: int > int).
2.82/3.06	thf(decl_304, type, esk250_1: int > int).
2.82/3.06	thf(decl_305, type, esk251_1: int > int).
2.82/3.06	thf(decl_306, type, esk252_1: int > int).
2.82/3.06	thf(decl_307, type, esk253_1: int > int).
2.82/3.06	thf(decl_308, type, esk254_3: (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_309, type, esk255_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_310, type, esk256_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
2.82/3.06	thf(decl_311, type, esk257_3: (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_312, type, esk258_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_313, type, esk259_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
2.82/3.06	thf(decl_314, type, esk260_1: int > int).
2.82/3.06	thf(decl_315, type, esk261_1: int > int).
2.82/3.06	thf(decl_316, type, esk262_1: int > int).
2.82/3.06	thf(decl_317, type, esk263_1: int > int).
2.82/3.06	thf(decl_318, type, esk264_3: (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_319, type, esk265_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_320, type, esk266_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
2.82/3.06	thf(decl_321, type, esk267_3: (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_322, type, esk268_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
2.82/3.06	thf(decl_323, type, esk269_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
2.82/3.06	thf(decl_324, type, esk270_3: int > int > (int > $o) > int).
2.82/3.06	thf(decl_325, type, esk271_2: (int > $o) > int > int).
2.82/3.06	thf(decl_326, type, esk272_2: (int > $o) > int > int).
2.82/3.06	thf(decl_327, type, esk273_3: (int > $o) > int > (int > $o) > int).
2.82/3.06	thf(decl_328, type, esk274_3: (int > $o) > int > (int > $o) > int).
2.82/3.06	thf(decl_329, type, esk275_2: (int > $o) > int > int).
2.82/3.06	thf(decl_330, type, esk276_2: (int > $o) > int > int).
2.82/3.06	thf(decl_331, type, esk277_3: (int > $o) > int > (int > $o) > int).
2.82/3.06	thf(decl_332, type, esk278_3: (int > $o) > int > (int > $o) > int).
2.82/3.06	thf(decl_333, type, esk279_3: int > int > int > int).
2.82/3.06	thf(decl_334, type, esk280_1: int > nat).
2.82/3.06	thf(decl_335, type, esk281_1: int > nat).
2.82/3.06	thf(fact_163_less__eq__Suc__le, axiom, ((ord_less_nat)=(^[X58:nat]:(ord_less_eq_nat @ (suc @ X58)))), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_163_less__eq__Suc__le)).
2.82/3.06	thf(fact_870_One__nat__def, axiom, ((one_one_nat)=(suc @ zero_zero_nat)), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_870_One__nat__def)).
2.82/3.06	thf(fact_118_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/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_118_less__or__eq__imp__le)).
2.82/3.06	thf(conj_0, hypothesis, (ord_less_nat @ (suc @ zero_zero_nat) @ b), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', conj_0)).
2.82/3.06	thf(fact_639_diff__Suc__1, axiom, ![X2:nat]:(((minus_minus_nat @ (suc @ X2) @ one_one_nat)=(X2))), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_639_diff__Suc__1)).
2.82/3.06	thf(fact_62_not0__implies__Suc, axiom, ![X2:nat]:((((X2)!=(zero_zero_nat))=>?[X33:nat]:(((X2)=(suc @ X33))))), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_62_not0__implies__Suc)).
2.82/3.06	thf(fact_3_Suc__pred, axiom, ![X2:nat]:(((ord_less_nat @ zero_zero_nat @ X2)=>((suc @ (minus_minus_nat @ X2 @ (suc @ zero_zero_nat)))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_3_Suc__pred)).
2.82/3.06	thf(conj_1, conjecture, (ord_less_eq_nat @ (modulo_modulo_nat @ (divide_divide_nat @ a @ (power_power_nat @ b @ k)) @ b) @ (minus_minus_nat @ b @ (suc @ zero_zero_nat))), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', conj_1)).
2.82/3.06	thf(fact_180_mod__Suc__le__divisor, axiom, ![X1:nat, X2:nat]:((ord_less_eq_nat @ (modulo_modulo_nat @ X1 @ (suc @ X2)) @ X2)), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_180_mod__Suc__le__divisor)).
2.82/3.06	thf(fact_63_Zero__not__Suc, axiom, ![X1:nat]:(((zero_zero_nat)!=(suc @ X1))), file('/export/starexec/sandbox/tmp/tmp.juURUa53bh/Vampire---4.8_5792', fact_63_Zero__not__Suc)).
2.82/3.06	thf(c_0_10, plain, ![X4440:nat]:(((ord_less_nat @ X4440)=(ord_less_eq_nat @ (suc @ X4440)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_163_less__eq__Suc__le])])).
2.82/3.06	thf(c_0_11, plain, ![X4710:nat]:(((ord_less_nat @ X4710)=(ord_less_eq_nat @ (suc @ X4710)))), inference(variable_rename,[status(thm)],[c_0_10])).
2.82/3.06	thf(c_0_12, plain, ![X1:nat]:(((ord_less_nat @ X1)=(ord_less_eq_nat @ (suc @ X1)))), inference(split_conjunct,[status(thm)],[c_0_11])).
2.82/3.06	thf(c_0_13, plain, ((one_one_nat)=(suc @ zero_zero_nat)), inference(split_conjunct,[status(thm)],[fact_870_One__nat__def])).
2.82/3.06	thf(c_0_14, plain, ((ord_less_eq_nat @ one_one_nat)=(ord_less_nat @ zero_zero_nat)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
2.82/3.06	thf(c_0_15, plain, ![X4644:nat, X4645:nat]:(((~(ord_less_nat @ X4644 @ X4645)|(ord_less_eq_nat @ X4644 @ X4645))&(((X4644)!=(X4645))|(ord_less_eq_nat @ X4644 @ X4645)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_118_less__or__eq__imp__le])])])).
2.82/3.06	thf(c_0_16, hypothesis, (ord_less_nat @ (suc @ zero_zero_nat) @ b), inference(split_conjunct,[status(thm)],[conj_0])).
2.82/3.06	thf(c_0_17, plain, ![X5573:nat]:(((minus_minus_nat @ (suc @ X5573) @ one_one_nat)=(X5573))), inference(variable_rename,[status(thm)],[fact_639_diff__Suc__1])).
2.82/3.06	thf(c_0_18, plain, ![X5464:nat]:((((X5464)=(zero_zero_nat))|((X5464)=(suc @ (esk122_1 @ X5464))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_62_not0__implies__Suc])])])).
2.82/3.06	thf(c_0_19, plain, ![X4524:nat]:((~(ord_less_nat @ zero_zero_nat @ X4524)|((suc @ (minus_minus_nat @ X4524 @ (suc @ zero_zero_nat)))=(X4524)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_Suc__pred])])).
2.82/3.06	thf(c_0_20, plain, ![X7746:nat]:(((ord_less_eq_nat @ one_one_nat @ X7746)<=>(ord_less_nat @ zero_zero_nat @ X7746))), inference(arg_cong,[status(thm)],[c_0_14])).
2.82/3.06	thf(c_0_21, plain, ![X1:nat, X2:nat]:(((ord_less_eq_nat @ X1 @ X2)|~((ord_less_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_15])).
2.82/3.06	thf(c_0_22, hypothesis, (ord_less_nat @ one_one_nat @ b), inference(rw,[status(thm)],[c_0_16, c_0_13])).
2.82/3.06	thf(c_0_23, plain, ![X1:nat]:(((minus_minus_nat @ (suc @ X1) @ one_one_nat)=(X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
2.82/3.06	thf(c_0_24, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|((X1)=(suc @ (esk122_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_18])).
2.82/3.06	thf(c_0_25, plain, ![X1:nat]:((((suc @ (minus_minus_nat @ X1 @ (suc @ zero_zero_nat)))=(X1))|~((ord_less_nat @ zero_zero_nat @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
2.82/3.06	thf(c_0_26, plain, ![X1:nat]:(((ord_less_nat @ zero_zero_nat @ X1)|~((ord_less_eq_nat @ one_one_nat @ X1)))), inference(dynamic cnf,[status(thm)],[c_0_20])).
2.82/3.06	thf(c_0_27, hypothesis, (ord_less_eq_nat @ one_one_nat @ b), inference(spm,[status(thm)],[c_0_21, c_0_22])).
2.82/3.06	thf(c_0_28, negated_conjecture, ~(ord_less_eq_nat @ (modulo_modulo_nat @ (divide_divide_nat @ a @ (power_power_nat @ b @ k)) @ b) @ (minus_minus_nat @ b @ (suc @ zero_zero_nat))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])).
2.82/3.06	thf(c_0_29, plain, ![X5547:nat, X5548:nat]:((ord_less_eq_nat @ (modulo_modulo_nat @ X5547 @ (suc @ X5548)) @ X5548)), inference(variable_rename,[status(thm)],[fact_180_mod__Suc__le__divisor])).
2.82/3.06	thf(c_0_30, plain, ![X1:nat]:((((esk122_1 @ X1)=(minus_minus_nat @ X1 @ one_one_nat))|((X1)=(zero_zero_nat)))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
2.82/3.06	thf(c_0_31, plain, ![X5466:nat]:(((zero_zero_nat)!=(suc @ X5466))), inference(variable_rename,[status(thm)],[fact_63_Zero__not__Suc])).
2.82/3.06	thf(c_0_32, plain, ![X1:nat]:((((suc @ (minus_minus_nat @ X1 @ one_one_nat))=(X1))|~((ord_less_nat @ zero_zero_nat @ X1)))), inference(rw,[status(thm)],[c_0_25, c_0_13])).
2.82/3.06	thf(c_0_33, hypothesis, (ord_less_nat @ zero_zero_nat @ b), inference(spm,[status(thm)],[c_0_26, c_0_27])).
2.82/3.06	thf(c_0_34, negated_conjecture, ~((ord_less_eq_nat @ (modulo_modulo_nat @ (divide_divide_nat @ a @ (power_power_nat @ b @ k)) @ b) @ (minus_minus_nat @ b @ (suc @ zero_zero_nat)))), inference(split_conjunct,[status(thm)],[c_0_28])).
2.82/3.06	thf(c_0_35, plain, ![X1:nat, X2:nat]:((ord_less_eq_nat @ (modulo_modulo_nat @ X1 @ (suc @ X2)) @ X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
2.82/3.06	thf(c_0_36, plain, ![X1:nat]:((((suc @ (minus_minus_nat @ X1 @ one_one_nat))=(X1))|((X1)=(zero_zero_nat)))), inference(spm,[status(thm)],[c_0_24, c_0_30])).
2.82/3.06	thf(c_0_37, plain, ![X1:nat]:(((zero_zero_nat)!=(suc @ X1))), inference(split_conjunct,[status(thm)],[c_0_31])).
2.82/3.06	thf(c_0_38, hypothesis, ((suc @ (minus_minus_nat @ b @ one_one_nat))=(b)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
2.82/3.06	thf(c_0_39, negated_conjecture, ~((ord_less_eq_nat @ (modulo_modulo_nat @ (divide_divide_nat @ a @ (power_power_nat @ b @ k)) @ b) @ (minus_minus_nat @ b @ one_one_nat))), inference(rw,[status(thm)],[c_0_34, c_0_13])).
2.82/3.06	thf(c_0_40, plain, ![X2:nat, X1:nat]:((((X1)=(zero_zero_nat))|(ord_less_eq_nat @ (modulo_modulo_nat @ X2 @ X1) @ (minus_minus_nat @ X1 @ one_one_nat)))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
2.82/3.06	thf(c_0_41, hypothesis, ((b)!=(zero_zero_nat)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
2.82/3.06	thf(c_0_42, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41]), ['proof']).
2.82/3.06	# SZS output end CNFRefutation
2.82/3.06	# Parsed axioms                        : 1308
2.82/3.06	# Removed by relevancy pruning/SinE    : 52
2.82/3.06	# Initial clauses                      : 2384
2.82/3.06	# Removed in clause preprocessing      : 75
2.82/3.06	# Initial clauses in saturation        : 2309
2.82/3.06	# Processed clauses                    : 21478
2.82/3.06	# ...of these trivial                  : 634
2.82/3.06	# ...subsumed                          : 15111
2.82/3.06	# ...remaining for further processing  : 5733
2.82/3.06	# Other redundant clauses eliminated   : 446
2.82/3.06	# Clauses deleted for lack of memory   : 0
2.82/3.06	# Backward-subsumed                    : 48
2.82/3.06	# Backward-rewritten                   : 357
2.82/3.06	# Generated clauses                    : 157681
2.82/3.06	# ...of the previous two non-redundant : 133263
2.82/3.06	# ...aggressively subsumed             : 0
2.82/3.06	# Contextual simplify-reflections      : 3
2.82/3.06	# Paramodulations                      : 157183
2.82/3.06	# Factorizations                       : 16
2.82/3.06	# NegExts                              : 0
2.82/3.06	# Equation resolutions                 : 479
2.82/3.06	# Propositional unsat checks           : 1
2.82/3.06	#    Propositional check models        : 0
2.82/3.06	#    Propositional check unsatisfiable : 0
2.82/3.06	#    Propositional clauses             : 0
2.82/3.06	#    Propositional clauses after purity: 0
2.82/3.06	#    Propositional unsat core size     : 0
2.82/3.06	#    Propositional preprocessing time  : 0.000
2.82/3.06	#    Propositional encoding time       : 0.104
2.82/3.07	#    Propositional solver time         : 0.076
2.82/3.07	#    Success case prop preproc time    : 0.000
2.82/3.07	#    Success case prop encoding time   : 0.000
2.82/3.07	#    Success case prop solver time     : 0.000
2.82/3.07	# Current number of processed clauses  : 3666
2.82/3.07	#    Positive orientable unit clauses  : 942
2.82/3.07	#    Positive unorientable unit clauses: 17
2.82/3.07	#    Negative unit clauses             : 1219
2.82/3.07	#    Non-unit-clauses                  : 1488
2.82/3.07	# Current number of unprocessed clauses: 113668
2.82/3.07	# ...number of literals in the above   : 255720
2.82/3.07	# Current number of archived formulas  : 0
2.82/3.07	# Current number of archived clauses   : 1843
2.82/3.07	# Clause-clause subsumption calls (NU) : 1269913
2.82/3.07	# Rec. Clause-clause subsumption calls : 338694
2.82/3.07	# Non-unit clause-clause subsumptions  : 1143
2.82/3.07	# Unit Clause-clause subsumption calls : 421720
2.82/3.07	# Rewrite failures with RHS unbound    : 0
2.82/3.07	# BW rewrite match attempts            : 2396
2.82/3.07	# BW rewrite match successes           : 458
2.82/3.07	# Condensation attempts                : 0
2.82/3.07	# Condensation successes               : 0
2.82/3.07	# Termbank termtop insertions          : 3414410
2.82/3.07	
2.82/3.07	# -------------------------------------------------
2.82/3.07	# User time                : 2.304 s
2.82/3.07	# System time              : 0.102 s
2.82/3.07	# Total time               : 2.406 s
2.82/3.07	# Maximum resident set size: 11752 pages
2.82/3.07	
2.82/3.07	# -------------------------------------------------
2.82/3.07	# User time                : 2.348 s
2.82/3.07	# System time              : 0.106 s
2.82/3.07	# Total time               : 2.454 s
2.82/3.07	# Maximum resident set size: 3908 pages
2.82/3.07	EOF