0.12/0.26 % Problem : SLH0472^1 : TPTP v8.2.0. Released v8.2.0. 0.12/0.28 % Command : run_E %s %d THM 0.28/0.49 % Computer : n025.cluster.edu 0.28/0.49 % Model : x86_64 x86_64 0.28/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.28/0.49 % Memory : 8042.1875MB 0.28/0.49 % OS : Linux 3.10.0-693.el7.x86_64 0.28/0.49 % CPULimit : 30 0.28/0.49 % WCLimit : 30 0.28/0.49 % DateTime : Mon Jul 3 08:44:38 EDT 2023 0.28/0.49 % CPUTime : 0.40/0.62 The problem SPC is TH0_THM_EQU_NAR 0.40/0.62 Running higher-order on 1 cores theorem proving 0.40/0.62 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118 0.40/0.62 # Version: 3.0pre003-ho 16.76/16.98 # Preprocessing class: HMLSSMSMSSSNSFA. 16.76/16.98 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 16.76/16.98 # Starting sh3 with 30s (1) cores 16.76/16.98 # sh3 with pid 23424 completed with status 0 16.76/16.98 # Result found by sh3 16.76/16.98 # Preprocessing class: HMLSSMSMSSSNSFA. 16.76/16.98 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 16.76/16.98 # Starting sh3 with 30s (1) cores 16.76/16.98 # No SInE strategy applied 16.76/16.98 # Search class: HGHSM-SMLM32-MSFFFSBN 16.76/16.98 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 16.76/16.98 # Starting new_ho_10 with 9s (1) cores 16.76/16.98 # new_ho_10 with pid 23492 completed with status 7 16.76/16.98 # Starting sh3 with 4s (1) cores 16.76/16.98 # sh3 with pid 23737 completed with status 7 16.76/16.98 # Starting new_bool_1 with 5s (1) cores 16.76/16.98 # new_bool_1 with pid 23738 completed with status 0 16.76/16.98 # Result found by new_bool_1 16.76/16.98 # Preprocessing class: HMLSSMSMSSSNSFA. 16.76/16.98 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 16.76/16.98 # Starting sh3 with 30s (1) cores 16.76/16.98 # No SInE strategy applied 16.76/16.98 # Search class: HGHSM-SMLM32-MSFFFSBN 16.76/16.98 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 16.76/16.98 # Starting new_ho_10 with 9s (1) cores 16.76/16.98 # new_ho_10 with pid 23492 completed with status 7 16.76/16.98 # Starting sh3 with 4s (1) cores 16.76/16.98 # sh3 with pid 23737 completed with status 7 16.76/16.98 # Starting new_bool_1 with 5s (1) cores 16.76/16.98 # Preprocessing time : 0.023 s 16.76/16.98 # Presaturation interreduction done 16.76/16.98 16.76/16.98 # Proof found! 16.76/16.98 # SZS status Theorem 16.76/16.98 # SZS output start CNFRefutation 16.76/16.98 thf(decl_22, type, bit_se2159334234014336723it_int: nat > int > int). 16.76/16.98 thf(decl_23, type, bit_se7879613467334960850it_int: nat > int > int). 16.76/16.98 thf(decl_24, type, bit_se4203085406695923979it_int: nat > int > int). 16.76/16.98 thf(decl_25, type, bit_se4205575877204974255it_nat: nat > nat > nat). 16.76/16.98 thf(decl_26, type, bits_nth_bit: nat > nat > nat). 16.76/16.98 thf(decl_27, type, bits_nth_digit: nat > nat > nat > nat). 16.76/16.98 thf(decl_28, type, minus_minus_nat: nat > nat > nat). 16.76/16.98 thf(decl_29, type, one_one_int: int). 16.76/16.98 thf(decl_30, type, one_one_nat: nat). 16.76/16.98 thf(decl_31, type, plus_plus_int: int > int > int). 16.76/16.98 thf(decl_32, type, plus_plus_nat: nat > nat > nat). 16.76/16.98 thf(decl_33, type, plus_plus_num: num > num > num). 16.76/16.98 thf(decl_34, type, times_times_int: int > int > int). 16.76/16.98 thf(decl_35, type, times_times_nat: nat > nat > nat). 16.76/16.98 thf(decl_36, type, times_times_num: num > num > num). 16.76/16.98 thf(decl_37, type, zero_zero_int: int). 16.76/16.98 thf(decl_38, type, zero_zero_nat: nat). 16.76/16.98 thf(decl_39, type, if_int: $o > int > int > int). 16.76/16.98 thf(decl_40, type, if_nat: $o > nat > nat > nat). 16.76/16.98 thf(decl_41, type, neg_numeral_dbl_int: int > int). 16.76/16.98 thf(decl_42, type, bit0: num > num). 16.76/16.98 thf(decl_43, type, one: num). 16.76/16.98 thf(decl_44, type, numeral_numeral_int: num > int). 16.76/16.98 thf(decl_45, type, numeral_numeral_nat: num > nat). 16.76/16.98 thf(decl_46, type, pow: num > num > num). 16.76/16.98 thf(decl_47, type, ord_less_int: int > int > $o). 16.76/16.98 thf(decl_48, type, ord_less_nat: nat > nat > $o). 16.76/16.98 thf(decl_49, type, ord_less_num: num > num > $o). 16.76/16.98 thf(decl_50, type, ord_less_eq_int: int > int > $o). 16.76/16.98 thf(decl_51, type, ord_less_eq_nat: nat > nat > $o). 16.76/16.98 thf(decl_52, type, ord_less_eq_num: num > num > $o). 16.76/16.98 thf(decl_53, type, power_power_int: int > nat > int). 16.76/16.98 thf(decl_54, type, power_power_nat: nat > nat > nat). 16.76/16.98 thf(decl_55, type, divide_divide_int: int > int > int). 16.76/16.98 thf(decl_56, type, divide_divide_nat: nat > nat > nat). 16.76/16.98 thf(decl_57, type, dvd_dvd_int: int > int > $o). 16.76/16.98 thf(decl_58, type, dvd_dvd_nat: nat > nat > $o). 16.76/16.98 thf(decl_59, type, modulo_modulo_int: int > int > int). 16.76/16.98 thf(decl_60, type, modulo_modulo_nat: nat > nat > nat). 16.76/16.98 thf(decl_61, type, a: nat). 16.76/16.98 thf(decl_62, type, b: nat). 16.76/16.98 thf(decl_63, type, k: nat). 16.76/16.98 thf(decl_64, type, epred1_3: (int > $o) > int > int > $o). 16.76/16.98 thf(decl_65, type, epred2_3: (int > $o) > int > int > $o). 16.76/16.98 thf(decl_66, type, esk1_1: (nat > $o) > nat). 16.76/16.98 thf(decl_67, type, esk2_1: (nat > $o) > nat). 16.76/16.98 thf(decl_68, type, esk3_1: (nat > $o) > nat). 16.76/16.98 thf(decl_69, type, esk4_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_70, type, esk5_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_71, type, esk6_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_72, type, esk7_0: nat). 16.76/16.98 thf(decl_73, type, esk8_0: nat). 16.76/16.98 thf(decl_74, type, esk9_0: nat). 16.76/16.98 thf(decl_75, type, esk10_0: nat). 16.76/16.98 thf(decl_76, type, esk11_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_77, type, esk12_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_78, type, esk13_3: int > int > int > int). 16.76/16.98 thf(decl_79, type, esk14_3: int > int > int > int). 16.76/16.98 thf(decl_80, type, esk15_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_81, type, esk16_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_82, type, esk17_3: int > int > int > int). 16.76/16.98 thf(decl_83, type, esk18_3: int > int > int > int). 16.76/16.98 thf(decl_84, type, esk19_2: nat > nat > nat). 16.76/16.98 thf(decl_85, type, esk20_2: int > int > int). 16.76/16.98 thf(decl_86, type, esk21_2: nat > nat > nat). 16.76/16.98 thf(decl_87, type, esk22_2: int > int > int). 16.76/16.98 thf(decl_88, type, esk23_2: nat > nat > nat). 16.76/16.98 thf(decl_89, type, esk24_2: int > int > int). 16.76/16.98 thf(decl_90, type, esk25_2: nat > nat > nat). 16.76/16.98 thf(decl_91, type, esk26_2: int > int > int). 16.76/16.98 thf(decl_92, type, esk27_1: nat > nat). 16.76/16.98 thf(decl_93, type, esk28_1: int > int). 16.76/16.98 thf(decl_94, type, esk29_1: nat > nat). 16.76/16.98 thf(decl_95, type, esk30_1: nat > nat). 16.76/16.98 thf(decl_96, type, esk31_1: (nat > nat) > nat). 16.76/16.98 thf(decl_97, type, esk32_1: (nat > nat) > nat). 16.76/16.98 thf(decl_98, type, esk33_2: int > (int > $o) > int). 16.76/16.98 thf(decl_99, type, esk34_1: num > num). 16.76/16.98 thf(decl_100, type, esk35_1: nat > nat). 16.76/16.98 thf(decl_101, type, esk36_1: int > int). 16.76/16.98 thf(decl_102, type, esk37_1: num > num). 16.76/16.98 thf(decl_103, type, esk38_1: nat > nat). 16.76/16.98 thf(decl_104, type, esk39_1: int > int). 16.76/16.98 thf(decl_105, type, esk40_1: num > num). 16.76/16.98 thf(decl_106, type, esk41_1: nat > nat). 16.76/16.98 thf(decl_107, type, esk42_1: int > int). 16.76/16.98 thf(decl_108, type, esk43_1: num > num). 16.76/16.98 thf(decl_109, type, esk44_1: nat > nat). 16.76/16.98 thf(decl_110, type, esk45_1: int > int). 16.76/16.98 thf(decl_111, type, esk46_2: nat > nat > nat). 16.76/16.98 thf(decl_112, type, esk47_2: nat > nat > nat). 16.76/16.98 thf(decl_113, type, esk48_2: nat > nat > nat). 16.76/16.98 thf(decl_114, type, esk49_2: nat > nat > nat). 16.76/16.98 thf(decl_115, type, esk50_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_116, type, esk51_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_117, type, esk52_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_118, type, esk53_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_119, type, esk54_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_120, type, esk55_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_121, type, esk56_1: (nat > nat > $o) > nat). 16.76/16.98 thf(decl_122, type, esk57_1: (nat > nat) > nat). 16.76/16.98 thf(decl_123, type, esk58_1: (nat > nat) > nat). 16.76/16.98 thf(decl_124, type, esk59_2: (nat > $o) > nat > nat). 16.76/16.98 thf(decl_125, type, esk60_2: (nat > $o) > nat > nat). 16.76/16.98 thf(decl_126, type, esk61_2: (nat > $o) > nat > nat). 16.76/16.98 thf(decl_127, type, esk62_2: (int > $o) > int > int). 16.76/16.98 thf(decl_128, type, esk63_2: (int > $o) > int > int). 16.76/16.98 thf(decl_129, type, esk64_2: nat > nat > nat). 16.76/16.98 thf(decl_130, type, esk65_3: int > int > int > int). 16.76/16.98 thf(decl_131, type, esk66_2: nat > nat > nat). 16.76/16.98 thf(decl_132, type, esk67_2: (nat > $o) > nat > nat). 16.76/16.98 thf(decl_133, type, esk68_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_134, type, esk69_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_135, type, esk70_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_136, type, esk71_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_137, type, esk72_2: nat > nat > nat). 16.76/16.98 thf(decl_138, type, esk73_2: nat > nat > nat). 16.76/16.98 thf(decl_139, type, esk74_2: nat > nat > nat). 16.76/16.98 thf(decl_140, type, esk75_2: nat > nat > nat). 16.76/16.98 thf(decl_141, type, esk76_2: nat > nat > nat). 16.76/16.98 thf(decl_142, type, esk77_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_143, type, esk78_3: nat > nat > nat > nat). 16.76/16.98 thf(decl_144, type, esk79_2: nat > nat > nat). 16.76/16.98 thf(decl_145, type, esk80_2: nat > nat > nat). 16.76/16.98 thf(decl_146, type, esk81_3: (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_147, type, esk82_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_148, type, esk83_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 16.76/16.98 thf(decl_149, type, esk84_3: (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_150, type, esk85_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_151, type, esk86_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 16.76/16.98 thf(decl_152, type, esk87_3: (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_153, type, esk88_5: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_154, type, esk89_4: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num). 16.76/16.98 thf(decl_155, type, esk90_3: (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_156, type, esk91_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_157, type, esk92_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 16.76/16.98 thf(decl_158, type, esk93_3: (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_159, type, esk94_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_160, type, esk95_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 16.76/16.98 thf(decl_161, type, esk96_3: (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_162, type, esk97_5: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_163, type, esk98_4: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num). 16.76/16.98 thf(decl_164, type, esk99_1: nat > nat). 16.76/16.98 thf(decl_165, type, esk100_1: int > int). 16.76/16.98 thf(decl_166, type, esk101_1: num > num). 16.76/16.98 thf(decl_167, type, esk102_1: nat > nat). 16.76/16.98 thf(decl_168, type, esk103_1: int > int). 16.76/16.98 thf(decl_169, type, esk104_1: num > num). 16.76/16.98 thf(decl_170, type, esk105_1: nat > nat). 16.76/16.98 thf(decl_171, type, esk106_1: int > int). 16.76/16.98 thf(decl_172, type, esk107_1: num > num). 16.76/16.98 thf(decl_173, type, esk108_1: nat > nat). 16.76/16.98 thf(decl_174, type, esk109_1: int > int). 16.76/16.98 thf(decl_175, type, esk110_1: num > num). 16.76/16.98 thf(decl_176, type, esk111_3: (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_177, type, esk112_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_178, type, esk113_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 16.76/16.98 thf(decl_179, type, esk114_3: (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_180, type, esk115_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_181, type, esk116_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 16.76/16.98 thf(decl_182, type, esk117_3: (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_183, type, esk118_5: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_184, type, esk119_4: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num). 16.76/16.98 thf(decl_185, type, esk120_3: (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_186, type, esk121_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 16.76/16.98 thf(decl_187, type, esk122_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 16.76/16.98 thf(decl_188, type, esk123_3: (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_189, type, esk124_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 16.76/16.98 thf(decl_190, type, esk125_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 16.76/16.98 thf(decl_191, type, esk126_3: (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_192, type, esk127_5: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num > num). 16.76/16.98 thf(decl_193, type, esk128_4: (num > $o) > (num > $o) > (num > $o) > (num > $o) > num). 16.76/16.98 thf(decl_194, type, esk129_1: nat > nat). 16.76/16.98 thf(decl_195, type, esk130_1: int > int). 16.76/16.98 thf(decl_196, type, esk131_1: num > num). 16.76/16.98 thf(decl_197, type, esk132_1: nat > nat). 16.76/16.98 thf(decl_198, type, esk133_1: int > int). 16.76/16.98 thf(decl_199, type, esk134_1: num > num). 16.76/16.98 thf(decl_200, type, esk135_1: nat > nat). 16.76/16.98 thf(decl_201, type, esk136_1: int > int). 16.76/16.98 thf(decl_202, type, esk137_1: num > num). 16.76/16.98 thf(decl_203, type, esk138_1: nat > nat). 16.76/16.98 thf(decl_204, type, esk139_1: int > int). 16.76/16.98 thf(decl_205, type, esk140_1: num > num). 16.76/16.98 thf(decl_206, type, esk141_2: nat > nat > nat). 16.76/16.98 thf(decl_207, type, esk142_2: nat > nat > nat). 16.76/16.98 thf(decl_208, type, esk143_2: nat > nat > nat). 16.76/16.98 thf(decl_209, type, esk144_3: (nat > $o) > nat > nat > nat). 16.76/16.98 thf(decl_210, type, esk145_3: (nat > $o) > nat > nat > nat). 16.76/16.98 thf(decl_211, type, esk146_3: (nat > $o) > nat > nat > nat). 16.76/16.98 thf(decl_212, type, esk147_3: (nat > $o) > nat > nat > nat). 16.76/16.98 thf(decl_213, type, esk148_1: (nat > $o) > nat). 16.76/16.98 thf(decl_214, type, esk149_2: (nat > $o) > nat > nat). 16.76/16.98 thf(decl_215, type, esk150_1: (nat > $o) > nat). 16.76/16.98 thf(decl_216, type, esk151_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_217, type, esk152_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_218, type, esk153_2: int > int > int). 16.76/16.98 thf(decl_219, type, esk154_2: (nat > $o) > nat > nat). 16.76/16.98 thf(decl_220, type, esk155_1: (nat > $o) > nat). 16.76/16.98 thf(decl_221, type, esk156_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_222, type, esk157_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_223, type, esk158_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_224, type, esk159_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_225, type, esk160_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_226, type, esk161_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_227, type, esk162_3: int > int > (int > $o) > int). 16.76/16.98 thf(decl_228, type, esk163_3: int > int > (int > $o) > int). 16.76/16.98 thf(fact_788_verit__la__disequality, axiom, ![X2:nat, X12:nat]:((((X2)=(X12))|~((ord_less_eq_nat @ X2 @ X12))|~((ord_less_eq_nat @ X12 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_788_verit__la__disequality)). 16.76/16.98 thf(fact_969_div__le__dividend, axiom, ![X8:nat, X1:nat]:((ord_less_eq_nat @ (divide_divide_nat @ X8 @ X1) @ X8)), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_969_div__le__dividend)). 16.76/16.98 thf(fact_6_div__self, axiom, ![X2:nat]:((((X2)!=(zero_zero_nat))=>((divide_divide_nat @ X2 @ X2)=(one_one_nat)))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_6_div__self)). 16.76/16.98 thf(fact_188_nth__digit__base2__equiv, axiom, ((bits_nth_bit)=(^[X113:nat, X94:nat]:(bits_nth_digit @ X113 @ X94 @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_188_nth__digit__base2__equiv)). 16.76/16.98 thf(fact_586_nth__digit__def, axiom, ((bits_nth_digit)=(^[X93:nat, X94:nat, X557:nat]:(modulo_modulo_nat @ (divide_divide_nat @ X93 @ (power_power_nat @ X557 @ X94)) @ X557))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_586_nth__digit__def)). 16.76/16.98 thf(fact_1086_nth__bit__bounded, axiom, ![X2:nat, X1216:nat]:((ord_less_eq_nat @ (bits_nth_bit @ X2 @ X1216) @ one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_1086_nth__bit__bounded)). 16.76/16.98 thf(fact_68_power__0, axiom, ![X2:nat]:(((power_power_nat @ X2 @ zero_zero_nat)=(one_one_nat))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_68_power__0)). 16.76/16.98 thf(fact_13_div__by__1, axiom, ![X2:nat]:(((divide_divide_nat @ X2 @ one_one_nat)=(X2))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_13_div__by__1)). 16.76/16.98 thf(conj_0, conjecture, ((bits_nth_bit @ b @ zero_zero_nat)=(one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', conj_0)). 16.76/16.98 thf(fact_728_one__add__one, axiom, ((plus_plus_nat @ one_one_nat @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_728_one__add__one)). 16.76/16.98 thf(fact_186_bk__cond, axiom, (((a)=(times_times_nat @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ b))&~((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ b))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_186_bk__cond)). 16.76/16.98 thf(fact_490_mod__0__imp__dvd, axiom, ![X2:nat, X12:nat]:((((modulo_modulo_nat @ X2 @ X12)=(zero_zero_nat))=>(dvd_dvd_nat @ X12 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.PepjIucrCB/Vampire---4.8_23118', fact_490_mod__0__imp__dvd)). 16.76/16.98 thf(c_0_12, plain, ![X2:nat, X12:nat]:((((X2)=(X12))|~(ord_less_eq_nat @ X2 @ X12)|~(ord_less_eq_nat @ X12 @ X2))), inference(fof_simplification,[status(thm)],[fact_788_verit__la__disequality])). 16.76/16.98 thf(c_0_13, plain, ![X6663:nat, X6664:nat]:((ord_less_eq_nat @ (divide_divide_nat @ X6663 @ X6664) @ X6663)), inference(variable_rename,[status(thm)],[fact_969_div__le__dividend])). 16.76/16.98 thf(c_0_14, plain, ![X4527:nat]:((((X4527)=(zero_zero_nat))|((divide_divide_nat @ X4527 @ X4527)=(one_one_nat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_6_div__self])])). 16.76/16.98 thf(c_0_15, plain, ![X6145:nat, X6146:nat]:((((X6145)=(X6146))|~(ord_less_eq_nat @ X6145 @ X6146)|~(ord_less_eq_nat @ X6146 @ X6145))), inference(variable_rename,[status(thm)],[c_0_12])). 16.76/16.98 thf(c_0_16, plain, ![X2:nat, X1:nat]:((ord_less_eq_nat @ (divide_divide_nat @ X1 @ X2) @ X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 16.76/16.98 thf(c_0_17, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|((divide_divide_nat @ X1 @ X1)=(one_one_nat)))), inference(split_conjunct,[status(thm)],[c_0_14])). 16.76/16.98 thf(c_0_18, plain, ![X4487:nat, X4488:nat]:(((bits_nth_bit @ X4487 @ X4488)=(bits_nth_digit @ X4487 @ X4488 @ (numeral_numeral_nat @ (bit0 @ one))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_188_nth__digit__base2__equiv])])). 16.76/16.98 thf(c_0_19, plain, ![X4509:nat, X4510:nat, X4511:nat]:(((bits_nth_digit @ X4509 @ X4510 @ X4511)=(modulo_modulo_nat @ (divide_divide_nat @ X4509 @ (power_power_nat @ X4511 @ X4510)) @ X4511))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_586_nth__digit__def])])). 16.76/16.98 thf(c_0_20, plain, ![X2:nat, X1:nat]:((((X1)=(X2))|~((ord_less_eq_nat @ X1 @ X2))|~((ord_less_eq_nat @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])). 16.76/16.98 thf(c_0_21, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|(ord_less_eq_nat @ one_one_nat @ X1))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 16.76/16.98 thf(c_0_22, plain, ![X6949:nat, X6950:nat]:((ord_less_eq_nat @ (bits_nth_bit @ X6949 @ X6950) @ one_one_nat)), inference(variable_rename,[status(thm)],[fact_1086_nth__bit__bounded])). 16.76/16.98 thf(c_0_23, plain, ![X4771:nat, X4772:nat]:(((bits_nth_bit @ X4771 @ X4772)=(bits_nth_digit @ X4771 @ X4772 @ (numeral_numeral_nat @ (bit0 @ one))))), inference(variable_rename,[status(thm)],[c_0_18])). 16.76/16.98 thf(c_0_24, plain, ![X5693:nat, X5694:nat, X5695:nat]:(((bits_nth_digit @ X5693 @ X5694 @ X5695)=(modulo_modulo_nat @ (divide_divide_nat @ X5693 @ (power_power_nat @ X5695 @ X5694)) @ X5695))), inference(variable_rename,[status(thm)],[c_0_19])). 16.76/16.98 thf(c_0_25, plain, ![X4617:nat]:(((power_power_nat @ X4617 @ zero_zero_nat)=(one_one_nat))), inference(variable_rename,[status(thm)],[fact_68_power__0])). 16.76/16.98 thf(c_0_26, plain, ![X4534:nat]:(((divide_divide_nat @ X4534 @ one_one_nat)=(X4534))), inference(variable_rename,[status(thm)],[fact_13_div__by__1])). 16.76/16.98 thf(c_0_27, negated_conjecture, ((bits_nth_bit @ b @ zero_zero_nat)!=(one_one_nat)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 16.76/16.98 thf(c_0_28, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|((X1)=(one_one_nat))|~((ord_less_eq_nat @ X1 @ one_one_nat)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 16.76/16.98 thf(c_0_29, plain, ![X1:nat, X2:nat]:((ord_less_eq_nat @ (bits_nth_bit @ X1 @ X2) @ one_one_nat)), inference(split_conjunct,[status(thm)],[c_0_22])). 16.76/16.98 thf(c_0_30, plain, ![X1:nat, X2:nat]:(((bits_nth_bit @ X1 @ X2)=(bits_nth_digit @ X1 @ X2 @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[c_0_23])). 16.76/16.98 thf(c_0_31, plain, ((plus_plus_nat @ one_one_nat @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_728_one__add__one])). 16.76/16.98 thf(c_0_32, plain, ![X1:nat, X2:nat, X8:nat]:(((bits_nth_digit @ X1 @ X2 @ X8)=(modulo_modulo_nat @ (divide_divide_nat @ X1 @ (power_power_nat @ X8 @ X2)) @ X8))), inference(split_conjunct,[status(thm)],[c_0_24])). 16.76/16.98 thf(c_0_33, plain, ![X1:nat]:(((power_power_nat @ X1 @ zero_zero_nat)=(one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_25])). 16.76/16.98 thf(c_0_34, plain, ![X1:nat]:(((divide_divide_nat @ X1 @ one_one_nat)=(X1))), inference(split_conjunct,[status(thm)],[c_0_26])). 16.76/16.98 thf(c_0_35, negated_conjecture, ((bits_nth_bit @ b @ zero_zero_nat)!=(one_one_nat)), inference(split_conjunct,[status(thm)],[c_0_27])). 16.76/16.98 thf(c_0_36, plain, ![X1:nat, X2:nat]:((((bits_nth_bit @ X1 @ X2)=(one_one_nat))|((bits_nth_bit @ X1 @ X2)=(zero_zero_nat)))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 16.76/16.98 thf(c_0_37, plain, ![X1:nat, X2:nat]:(((bits_nth_digit @ X1 @ X2 @ (plus_plus_nat @ one_one_nat @ one_one_nat))=(bits_nth_bit @ X1 @ X2))), inference(rw,[status(thm)],[c_0_30, c_0_31])). 16.76/16.98 thf(c_0_38, plain, ![X1:nat, X2:nat]:(((bits_nth_digit @ X1 @ zero_zero_nat @ X2)=(modulo_modulo_nat @ X1 @ X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])). 16.76/16.98 thf(c_0_39, plain, (((a)=(times_times_nat @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ b))&~(dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ b)), inference(fof_simplification,[status(thm)],[fact_186_bk__cond])). 16.76/16.98 thf(c_0_40, plain, ![X5509:nat, X5510:nat]:((((modulo_modulo_nat @ X5509 @ X5510)!=(zero_zero_nat))|(dvd_dvd_nat @ X5510 @ X5509))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_490_mod__0__imp__dvd])])). 16.76/16.98 thf(c_0_41, negated_conjecture, ((bits_nth_bit @ b @ zero_zero_nat)=(zero_zero_nat)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 16.76/16.98 thf(c_0_42, plain, ![X1:nat]:(((bits_nth_bit @ X1 @ zero_zero_nat)=(modulo_modulo_nat @ X1 @ (plus_plus_nat @ one_one_nat @ one_one_nat)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 16.76/16.98 thf(c_0_43, plain, ~((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ b)), inference(split_conjunct,[status(thm)],[c_0_39])). 16.76/16.98 thf(c_0_44, plain, ![X1:nat, X2:nat]:(((dvd_dvd_nat @ X2 @ X1)|((modulo_modulo_nat @ X1 @ X2)!=(zero_zero_nat)))), inference(split_conjunct,[status(thm)],[c_0_40])). 16.76/16.98 thf(c_0_45, negated_conjecture, ((modulo_modulo_nat @ b @ (plus_plus_nat @ one_one_nat @ one_one_nat))=(zero_zero_nat)), inference(rw,[status(thm)],[c_0_41, c_0_42])). 16.76/16.98 thf(c_0_46, plain, ~((dvd_dvd_nat @ (plus_plus_nat @ one_one_nat @ one_one_nat) @ b)), inference(rw,[status(thm)],[c_0_43, c_0_31])). 16.76/16.98 thf(c_0_47, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46]), ['proof']). 16.76/16.98 # SZS output end CNFRefutation 16.76/16.98 # Parsed axioms : 1315 16.76/16.98 # Removed by relevancy pruning/SinE : 0 16.76/16.98 # Initial clauses : 2451 16.76/16.98 # Removed in clause preprocessing : 152 16.76/16.98 # Initial clauses in saturation : 2299 16.76/16.98 # Processed clauses : 23893 16.76/16.98 # ...of these trivial : 494 16.76/16.98 # ...subsumed : 16437 16.76/16.98 # ...remaining for further processing : 6962 16.76/16.98 # Other redundant clauses eliminated : 755 16.76/16.98 # Clauses deleted for lack of memory : 0 16.76/16.98 # Backward-subsumed : 193 16.76/16.98 # Backward-rewritten : 438 16.76/16.98 # Generated clauses : 136769 16.76/16.98 # ...of the previous two non-redundant : 118756 16.76/16.98 # ...aggressively subsumed : 0 16.76/16.98 # Contextual simplify-reflections : 20 16.76/16.98 # Paramodulations : 125138 16.76/16.98 # Factorizations : 27 16.76/16.98 # NegExts : 0 16.76/16.98 # Equation resolutions : 793 16.76/16.98 # Propositional unsat checks : 1 16.76/16.98 # Propositional check models : 0 16.76/16.98 # Propositional check unsatisfiable : 0 16.76/16.98 # Propositional clauses : 0 16.76/16.98 # Propositional clauses after purity: 0 16.76/16.98 # Propositional unsat core size : 0 16.76/16.98 # Propositional preprocessing time : 0.000 16.76/16.98 # Propositional encoding time : 0.053 16.76/16.98 # Propositional solver time : 0.031 16.76/16.98 # Success case prop preproc time : 0.000 16.76/16.98 # Success case prop encoding time : 0.000 16.76/16.98 # Success case prop solver time : 0.000 16.76/16.98 # Current number of processed clauses : 4492 16.76/16.98 # Positive orientable unit clauses : 959 16.76/16.98 # Positive unorientable unit clauses: 25 16.76/16.98 # Negative unit clauses : 1326 16.76/16.98 # Non-unit-clauses : 2182 16.76/16.98 # Current number of unprocessed clauses: 98282 16.76/16.98 # ...number of literals in the above : 258661 16.76/16.98 # Current number of archived formulas : 0 16.76/16.98 # Current number of archived clauses : 2288 16.76/16.98 # Clause-clause subsumption calls (NU) : 2093064 16.76/16.98 # Rec. Clause-clause subsumption calls : 526512 16.76/16.98 # Non-unit clause-clause subsumptions : 3051 16.76/16.98 # Unit Clause-clause subsumption calls : 829947 16.76/16.98 # Rewrite failures with RHS unbound : 0 16.76/16.98 # BW rewrite match attempts : 10994 16.76/16.98 # BW rewrite match successes : 3781 16.76/16.98 # Condensation attempts : 0 16.76/16.98 # Condensation successes : 0 16.76/16.98 # Termbank termtop insertions : 8659039 16.76/16.98 16.76/16.98 # ------------------------------------------------- 16.76/16.98 # User time : 15.884 s 16.76/16.98 # System time : 0.434 s 16.76/16.98 # Total time : 16.318 s 16.76/16.98 # Maximum resident set size: 11196 pages 16.76/16.98 16.76/16.98 # ------------------------------------------------- 16.76/16.98 # User time : 15.919 s 16.76/16.98 # System time : 0.440 s 16.76/16.98 # Total time : 16.358 s 16.76/16.98 # Maximum resident set size: 3956 pages 16.81/16.98 EOF