0.12/0.25 % Problem : SLH0198^1 : TPTP v8.2.0. Released v8.2.0. 0.25/0.26 % Command : run_E %s %d THM 0.25/0.47 % Computer : n028.cluster.edu 0.25/0.47 % Model : x86_64 x86_64 0.25/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.25/0.47 % Memory : 8042.1875MB 0.25/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.25/0.47 % CPULimit : 30 0.25/0.47 % WCLimit : 30 0.25/0.47 % DateTime : Mon Jul 3 10:06:14 EDT 2023 0.25/0.47 % CPUTime : 0.39/0.59 The problem SPC is TH0_THM_EQU_NAR 0.39/0.59 Running higher-order on 1 cores theorem proving 0.39/0.59 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.YZLzbI8qRR/Vampire---4.8_29844 0.39/0.60 # Version: 3.0pre003-ho 0.44/0.84 # Preprocessing class: HMLSSMSMSSSNSFA. 0.44/0.84 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.44/0.84 # Starting sh3 with 30s (1) cores 0.44/0.84 # sh3 with pid 30026 completed with status 0 0.44/0.84 # Result found by sh3 0.44/0.84 # Preprocessing class: HMLSSMSMSSSNSFA. 0.44/0.84 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.44/0.84 # Starting sh3 with 30s (1) cores 0.44/0.84 # No SInE strategy applied 0.44/0.84 # Search class: HGHSM-SSLM31-DSFFFFBN 0.44/0.84 # partial match(1): HGHSM-FSLM31-DSFFFFBN 0.44/0.84 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.44/0.84 # Starting lpo8_lambda_fix with 11s (1) cores 0.44/0.84 # lpo8_lambda_fix with pid 30027 completed with status 0 0.44/0.84 # Result found by lpo8_lambda_fix 0.44/0.84 # Preprocessing class: HMLSSMSMSSSNSFA. 0.44/0.84 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.44/0.84 # Starting sh3 with 30s (1) cores 0.44/0.84 # No SInE strategy applied 0.44/0.84 # Search class: HGHSM-SSLM31-DSFFFFBN 0.44/0.84 # partial match(1): HGHSM-FSLM31-DSFFFFBN 0.44/0.84 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.44/0.84 # Starting lpo8_lambda_fix with 11s (1) cores 0.44/0.84 # Preprocessing time : 0.021 s 0.44/0.84 # Presaturation interreduction done 0.44/0.84 0.44/0.84 # Proof found! 0.44/0.84 # SZS status Theorem 0.44/0.84 # SZS output start CNFRefutation 0.44/0.84 thf(decl_22, type, iFNTT_a: nat > finite_mod_ring_a > list_F4626807571770296779ring_a > list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_23, type, iNTT_gen_a: nat > finite_mod_ring_a > nat > list_F4626807571770296779ring_a > list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_24, type, intt_gen_a: nat > finite_mod_ring_a > list_F4626807571770296779ring_a > nat > nat > finite_mod_ring_a). 0.44/0.84 thf(decl_25, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_26, type, minus_minus_int: int > int > int). 0.44/0.84 thf(decl_27, type, minus_minus_nat: nat > nat > nat). 0.44/0.84 thf(decl_28, type, minus_minus_real: real > real > real). 0.44/0.84 thf(decl_29, type, one_on2109788427901206336ring_a: finite_mod_ring_a). 0.44/0.84 thf(decl_30, type, one_one_int: int). 0.44/0.84 thf(decl_31, type, one_one_nat: nat). 0.44/0.84 thf(decl_32, type, one_one_real: real). 0.44/0.84 thf(decl_33, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_34, type, plus_plus_int: int > int > int). 0.44/0.84 thf(decl_35, type, plus_plus_nat: nat > nat > nat). 0.44/0.84 thf(decl_36, type, plus_plus_num: num > num > num). 0.44/0.84 thf(decl_37, type, plus_plus_real: real > real > real). 0.44/0.84 thf(decl_38, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_39, type, times_times_int: int > int > int). 0.44/0.84 thf(decl_40, type, times_times_nat: nat > nat > nat). 0.44/0.84 thf(decl_41, type, times_times_num: num > num > num). 0.44/0.84 thf(decl_42, type, times_times_real: real > real > real). 0.44/0.84 thf(decl_43, type, uminus3100561713750211260ring_a: finite_mod_ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_44, type, uminus_uminus_int: int > int). 0.44/0.84 thf(decl_45, type, uminus_uminus_real: real > real). 0.44/0.84 thf(decl_46, type, zero_z7902377541816115708ring_a: finite_mod_ring_a). 0.44/0.84 thf(decl_47, type, zero_zero_int: int). 0.44/0.84 thf(decl_48, type, zero_zero_nat: nat). 0.44/0.84 thf(decl_49, type, zero_zero_real: real). 0.44/0.84 thf(decl_50, type, if_nat: $o > nat > nat > nat). 0.44/0.84 thf(decl_51, type, cons_F8924456270334622075ring_a: finite_mod_ring_a > list_F4626807571770296779ring_a > list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_52, type, nil_Fi5353433074977123787ring_a: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_53, type, nth_Fi694352073394265932ring_a: list_F4626807571770296779ring_a > nat > finite_mod_ring_a). 0.44/0.84 thf(decl_54, type, iNTT_a: nat > finite_mod_ring_a > list_F4626807571770296779ring_a > list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_55, type, suc: nat > nat). 0.44/0.84 thf(decl_56, type, size_s7115545719440041015ring_a: list_F4626807571770296779ring_a > nat). 0.44/0.84 thf(decl_57, type, size_size_num: num > nat). 0.44/0.84 thf(decl_58, type, bit0: num > num). 0.44/0.84 thf(decl_59, type, one: num). 0.44/0.84 thf(decl_60, type, numera7938180240421336042ring_a: num > finite_mod_ring_a). 0.44/0.84 thf(decl_61, type, numeral_numeral_int: num > int). 0.44/0.84 thf(decl_62, type, numeral_numeral_nat: num > nat). 0.44/0.84 thf(decl_63, type, numeral_numeral_real: num > real). 0.44/0.84 thf(decl_64, type, ord_less_int: int > int > $o). 0.44/0.84 thf(decl_65, type, ord_less_nat: nat > nat > $o). 0.44/0.84 thf(decl_66, type, ord_less_num: num > num > $o). 0.44/0.84 thf(decl_67, type, ord_less_real: real > real > $o). 0.44/0.84 thf(decl_68, type, ord_less_eq_int: int > int > $o). 0.44/0.84 thf(decl_69, type, ord_less_eq_nat: nat > nat > $o). 0.44/0.84 thf(decl_70, type, ord_less_eq_num: num > num > $o). 0.44/0.84 thf(decl_71, type, ord_less_eq_real: real > real > $o). 0.44/0.84 thf(decl_72, type, power_6826135765519566523ring_a: finite_mod_ring_a > nat > finite_mod_ring_a). 0.44/0.84 thf(decl_73, type, power_power_int: int > nat > int). 0.44/0.84 thf(decl_74, type, power_power_nat: nat > nat > nat). 0.44/0.84 thf(decl_75, type, power_power_real: real > nat > real). 0.44/0.84 thf(decl_76, type, divide972148758386938611ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_77, type, divide_divide_int: int > int > int). 0.44/0.84 thf(decl_78, type, divide_divide_nat: nat > nat > nat). 0.44/0.84 thf(decl_79, type, divide_divide_real: real > real > real). 0.44/0.84 thf(decl_80, type, n: nat). 0.44/0.84 thf(decl_81, type, mu: finite_mod_ring_a). 0.44/0.84 thf(decl_82, type, i: nat). 0.44/0.84 thf(decl_83, type, ifntt1: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_84, type, ifntt2: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_85, type, j: nat). 0.44/0.84 thf(decl_86, type, l1: nat). 0.44/0.84 thf(decl_87, type, l2: nat). 0.44/0.84 thf(decl_88, type, la: nat). 0.44/0.84 thf(decl_89, type, llen: nat). 0.44/0.84 thf(decl_90, type, n2: nat). 0.44/0.84 thf(decl_91, type, numbers1: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_92, type, numbers2: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_93, type, numbersa: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_94, type, sum2: list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_95, type, esk1_1: (nat > $o) > nat). 0.44/0.84 thf(decl_96, type, esk2_1: (nat > $o) > nat). 0.44/0.84 thf(decl_97, type, esk3_1: real > real). 0.44/0.84 thf(decl_98, type, esk4_1: real > real). 0.44/0.84 thf(decl_99, type, esk5_2: (nat > $o) > nat > nat). 0.44/0.84 thf(decl_100, type, esk6_1: (nat > $o) > nat). 0.44/0.84 thf(decl_101, type, esk7_2: nat > nat > nat). 0.44/0.84 thf(decl_102, type, esk8_2: nat > nat > nat). 0.44/0.84 thf(decl_103, type, esk9_1: (nat > nat) > nat). 0.44/0.84 thf(decl_104, type, esk10_1: (nat > nat) > nat). 0.44/0.84 thf(decl_105, type, esk11_2: nat > nat > nat). 0.44/0.84 thf(decl_106, type, esk12_2: nat > nat > nat). 0.44/0.84 thf(decl_107, type, esk13_1: (nat > nat) > nat). 0.44/0.84 thf(decl_108, type, esk14_1: (nat > nat) > nat). 0.44/0.84 thf(decl_109, type, esk15_0: finite_mod_ring_a). 0.44/0.84 thf(decl_110, type, esk16_0: finite_mod_ring_a). 0.44/0.84 thf(decl_111, type, esk17_1: list_F4626807571770296779ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_112, type, esk18_1: list_F4626807571770296779ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_113, type, esk19_1: list_F4626807571770296779ring_a > finite_mod_ring_a). 0.44/0.84 thf(decl_114, type, esk20_1: list_F4626807571770296779ring_a > list_F4626807571770296779ring_a). 0.44/0.84 thf(decl_115, type, esk21_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_116, type, esk22_1: nat > nat). 0.44/0.84 thf(decl_117, type, esk23_1: (nat > $o) > nat). 0.44/0.84 thf(decl_118, type, esk24_1: (nat > nat > $o) > nat). 0.44/0.84 thf(decl_119, type, esk25_1: (nat > nat > $o) > nat). 0.44/0.84 thf(decl_120, type, esk26_1: (nat > nat > $o) > nat). 0.44/0.84 thf(decl_121, type, esk27_1: (nat > nat > $o) > nat). 0.44/0.84 thf(decl_122, type, esk28_1: (nat > $o) > nat). 0.44/0.84 thf(decl_123, type, esk29_1: nat > nat). 0.44/0.84 thf(decl_124, type, esk30_2: nat > nat > nat). 0.44/0.84 thf(decl_125, type, esk31_1: nat > nat). 0.44/0.84 thf(decl_126, type, esk32_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_127, type, esk33_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_128, type, esk34_1: nat > nat). 0.44/0.84 thf(decl_129, type, esk35_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_130, type, esk36_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_131, type, esk37_2: (nat > $o) > nat > nat). 0.44/0.84 thf(decl_132, type, esk38_3: nat > nat > (nat > $o) > nat). 0.44/0.84 thf(decl_133, type, esk39_3: nat > nat > (nat > $o) > nat). 0.44/0.84 thf(decl_134, type, esk40_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_135, type, esk41_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_136, type, esk42_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_137, type, esk43_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_138, type, esk44_2: nat > nat > nat). 0.44/0.84 thf(decl_139, type, esk45_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_140, type, esk46_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_141, type, esk47_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_142, type, esk48_2: nat > (nat > $o) > nat). 0.44/0.84 thf(decl_143, type, esk49_2: nat > nat > nat). 0.44/0.84 thf(decl_144, type, esk50_2: nat > nat > nat). 0.44/0.84 thf(decl_145, type, esk51_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_146, type, esk52_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_147, type, esk53_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_148, type, esk54_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_149, type, esk55_3: nat > nat > (nat > nat > $o) > nat). 0.44/0.84 thf(decl_150, type, esk56_3: nat > nat > (nat > $o) > nat). 0.44/0.84 thf(decl_151, type, esk57_1: (nat > $o) > nat). 0.44/0.84 thf(decl_152, type, esk58_2: nat > nat > nat). 0.44/0.84 thf(decl_153, type, esk59_2: (nat > $o) > nat > nat). 0.44/0.84 thf(decl_154, type, esk60_2: real > real > real). 0.44/0.84 thf(decl_155, type, esk61_1: (nat > $o) > nat). 0.44/0.84 thf(decl_156, type, esk62_1: (nat > $o) > nat). 0.44/0.84 thf(decl_157, type, esk63_3: (nat > $o) > nat > nat > nat). 0.44/0.84 thf(decl_158, type, esk64_3: nat > nat > (nat > $o) > nat). 0.44/0.84 thf(decl_159, type, esk65_3: nat > nat > (nat > $o) > nat). 0.44/0.84 thf(decl_160, type, esk66_2: nat > nat > nat). 0.44/0.84 thf(decl_161, type, esk67_2: nat > nat > nat). 0.44/0.84 thf(decl_162, type, esk68_2: nat > nat > nat). 0.44/0.84 thf(decl_163, type, esk69_2: (nat > $o) > nat > nat). 0.44/0.84 thf(decl_164, type, esk70_2: nat > nat > nat). 0.44/0.84 thf(decl_165, type, esk71_1: (nat > $o) > nat). 0.44/0.84 thf(decl_166, type, esk72_1: (nat > $o) > nat). 0.44/0.84 thf(decl_167, type, esk73_2: nat > (nat > $o) > nat). 0.44/0.84 thf(fact_1060_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_1060_Suc__1)). 0.44/0.84 thf(fact_1111_One__nat__def, axiom, ((one_one_nat)=(suc @ zero_zero_nat)), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_1111_One__nat__def)). 0.44/0.84 thf(conj_1, conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ la)) @ i) @ j))) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i)))=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (plus_plus_nat @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ la)) @ i) @ j) @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i))))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', conj_1)). 0.44/0.84 thf(fact_508_one__add__one, axiom, ((plus_plus_nat @ one_one_nat @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_508_one__add__one)). 0.44/0.84 thf(fact_345_mult_Ocommute, axiom, ((times_5121417576591743744ring_a)=(^[X374:finite_mod_ring_a, X375:finite_mod_ring_a]:(times_5121417576591743744ring_a @ X375 @ X374))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_345_mult_Ocommute)). 0.44/0.84 thf(fact_346_mult_Ocommute, axiom, ((times_times_nat)=(^[X409:nat, X410:nat]:(times_times_nat @ X410 @ X409))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_346_mult_Ocommute)). 0.44/0.84 thf(fact_360_add_Ocommute, axiom, ((plus_plus_nat)=(^[X437:nat, X438:nat]:(plus_plus_nat @ X438 @ X437))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_360_add_Ocommute)). 0.44/0.84 thf(fact_105_power__add, axiom, ![X135:finite_mod_ring_a, X4:nat, X30:nat]:(((power_6826135765519566523ring_a @ X135 @ (plus_plus_nat @ X4 @ X30))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ X135 @ X4) @ (power_6826135765519566523ring_a @ X135 @ X30)))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_105_power__add)). 0.44/0.84 thf(fact_349_mult_Oassoc, axiom, ![X415:nat, X416:nat, X417:nat]:(((times_times_nat @ (times_times_nat @ X415 @ X416) @ X417)=(times_times_nat @ X415 @ (times_times_nat @ X416 @ X417)))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_349_mult_Oassoc)). 0.44/0.84 thf(fact_348_mult_Oassoc, axiom, ![X413:finite_mod_ring_a, X414:finite_mod_ring_a, X1:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ X413 @ X414) @ X1)=(times_5121417576591743744ring_a @ X413 @ (times_5121417576591743744ring_a @ X414 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.YZLzbI8qRR/Vampire---4.8_29844', fact_348_mult_Oassoc)). 0.44/0.84 thf(c_0_10, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_1060_Suc__1])). 0.44/0.84 thf(c_0_11, plain, ((one_one_nat)=(suc @ zero_zero_nat)), inference(split_conjunct,[status(thm)],[fact_1111_One__nat__def])). 0.44/0.84 thf(c_0_12, negated_conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ la)) @ i) @ j))) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (plus_plus_nat @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ la)) @ i) @ j) @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])). 0.44/0.84 thf(c_0_13, plain, ((plus_plus_nat @ one_one_nat @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_508_one__add__one])). 0.44/0.84 thf(c_0_14, plain, ((numeral_numeral_nat @ (bit0 @ one))=(suc @ (suc @ zero_zero_nat))), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.44/0.84 thf(c_0_15, plain, ![X3798:finite_mod_ring_a, X3799:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X3798 @ X3799)=(times_5121417576591743744ring_a @ X3799 @ X3798))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_345_mult_Ocommute])])). 0.44/0.84 thf(c_0_16, plain, ![X3800:nat, X3801:nat]:(((times_times_nat @ X3800 @ X3801)=(times_times_nat @ X3801 @ X3800))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_346_mult_Ocommute])])). 0.44/0.84 thf(c_0_17, plain, ![X3804:nat, X3805:nat]:(((plus_plus_nat @ X3804 @ X3805)=(plus_plus_nat @ X3805 @ X3804))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_360_add_Ocommute])])). 0.44/0.84 thf(c_0_18, negated_conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ la)) @ i) @ j))) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (plus_plus_nat @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ la)) @ i) @ j) @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i))))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.44/0.84 thf(c_0_19, plain, ((suc @ (suc @ zero_zero_nat))=(plus_plus_nat @ (suc @ zero_zero_nat) @ (suc @ zero_zero_nat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_11]), c_0_11]), c_0_14])). 0.44/0.84 thf(c_0_20, plain, ![X4573:finite_mod_ring_a, X4574:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X4573 @ X4574)=(times_5121417576591743744ring_a @ X4574 @ X4573))), inference(variable_rename,[status(thm)],[c_0_15])). 0.44/0.84 thf(c_0_21, plain, ![X4575:nat, X4576:nat]:(((times_times_nat @ X4575 @ X4576)=(times_times_nat @ X4576 @ X4575))), inference(variable_rename,[status(thm)],[c_0_16])). 0.44/0.84 thf(c_0_22, plain, ![X4615:nat, X4616:nat]:(((plus_plus_nat @ X4615 @ X4616)=(plus_plus_nat @ X4616 @ X4615))), inference(variable_rename,[status(thm)],[c_0_17])). 0.44/0.84 thf(c_0_23, negated_conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (plus_plus_nat @ (suc @ zero_zero_nat) @ (suc @ zero_zero_nat)) @ la)) @ i) @ j))) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers2 @ j) @ (power_6826135765519566523ring_a @ mu @ (plus_plus_nat @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (plus_plus_nat @ (suc @ zero_zero_nat) @ (suc @ zero_zero_nat)) @ la)) @ i) @ j) @ (times_times_nat @ (divide_divide_nat @ n2 @ llen) @ i))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_14]), c_0_19]), c_0_14]), c_0_19])). 0.44/0.84 thf(c_0_24, 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_20])). 0.44/0.84 thf(c_0_25, plain, ![X4:nat, X3:nat]:(((times_times_nat @ X3 @ X4)=(times_times_nat @ X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.44/0.84 thf(c_0_26, plain, ![X4:nat, X3:nat]:(((plus_plus_nat @ X3 @ X4)=(plus_plus_nat @ X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.44/0.84 thf(c_0_27, plain, ![X4072:finite_mod_ring_a, X4073:nat, X4074:nat]:(((power_6826135765519566523ring_a @ X4072 @ (plus_plus_nat @ X4073 @ X4074))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ X4072 @ X4073) @ (power_6826135765519566523ring_a @ X4072 @ X4074)))), inference(variable_rename,[status(thm)],[fact_105_power__add])). 0.44/0.84 thf(c_0_28, plain, ![X4582:nat, X4583:nat, X4584:nat]:(((times_times_nat @ (times_times_nat @ X4582 @ X4583) @ X4584)=(times_times_nat @ X4582 @ (times_times_nat @ X4583 @ X4584)))), inference(variable_rename,[status(thm)],[fact_349_mult_Oassoc])). 0.44/0.84 thf(c_0_29, plain, ![X4579:finite_mod_ring_a, X4580:finite_mod_ring_a, X4581:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ X4579 @ X4580) @ X4581)=(times_5121417576591743744ring_a @ X4579 @ (times_5121417576591743744ring_a @ X4580 @ X4581)))), inference(variable_rename,[status(thm)],[fact_348_mult_Oassoc])). 0.44/0.84 thf(c_0_30, negated_conjecture, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (plus_plus_nat @ (times_times_nat @ i @ (divide_divide_nat @ n2 @ llen)) @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (plus_plus_nat @ (suc @ zero_zero_nat) @ (suc @ zero_zero_nat)) @ la)) @ i) @ j))) @ (nth_Fi694352073394265932ring_a @ numbers2 @ j))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ i @ (divide_divide_nat @ n2 @ llen))) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ (times_times_nat @ (divide_divide_nat @ n2 @ (power_power_nat @ (plus_plus_nat @ (suc @ zero_zero_nat) @ (suc @ zero_zero_nat)) @ la)) @ i) @ j)) @ (nth_Fi694352073394265932ring_a @ numbers2 @ 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_23, c_0_24]), c_0_24]), c_0_24]), c_0_25]), c_0_26]), c_0_25])). 0.44/0.84 thf(c_0_31, plain, ![X1:finite_mod_ring_a, X3:nat, X4:nat]:(((power_6826135765519566523ring_a @ X1 @ (plus_plus_nat @ X3 @ X4))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ X1 @ X3) @ (power_6826135765519566523ring_a @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.44/0.84 thf(c_0_32, plain, ![X3:nat, X4:nat, X10:nat]:(((times_times_nat @ (times_times_nat @ X3 @ X4) @ X10)=(times_times_nat @ X3 @ (times_times_nat @ X4 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.44/0.84 thf(c_0_33, plain, ![X1:finite_mod_ring_a, X2:finite_mod_ring_a, X9:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ X1 @ X2) @ X9)=(times_5121417576591743744ring_a @ X1 @ (times_5121417576591743744ring_a @ X2 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.44/0.84 thf(c_0_34, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33]), c_0_32])]), ['proof']). 0.44/0.84 # SZS output end CNFRefutation 0.44/0.84 # Parsed axioms : 1352 0.44/0.84 # Removed by relevancy pruning/SinE : 0 0.44/0.84 # Initial clauses : 1866 0.44/0.84 # Removed in clause preprocessing : 141 0.44/0.84 # Initial clauses in saturation : 1725 0.44/0.84 # Processed clauses : 972 0.44/0.84 # ...of these trivial : 90 0.44/0.84 # ...subsumed : 148 0.44/0.84 # ...remaining for further processing : 734 0.44/0.84 # Other redundant clauses eliminated : 158 0.44/0.84 # Clauses deleted for lack of memory : 0 0.44/0.84 # Backward-subsumed : 27 0.44/0.84 # Backward-rewritten : 86 0.44/0.84 # Generated clauses : 150 0.44/0.84 # ...of the previous two non-redundant : 90 0.44/0.84 # ...aggressively subsumed : 0 0.44/0.84 # Contextual simplify-reflections : 0 0.44/0.84 # Paramodulations : 0 0.44/0.84 # Factorizations : 0 0.44/0.84 # NegExts : 0 0.44/0.84 # Equation resolutions : 158 0.44/0.84 # Propositional unsat checks : 0 0.44/0.84 # Propositional check models : 0 0.44/0.84 # Propositional check unsatisfiable : 0 0.44/0.84 # Propositional clauses : 0 0.44/0.84 # Propositional clauses after purity: 0 0.44/0.84 # Propositional unsat core size : 0 0.44/0.84 # Propositional preprocessing time : 0.000 0.44/0.84 # Propositional encoding time : 0.000 0.44/0.84 # Propositional solver time : 0.000 0.44/0.84 # Success case prop preproc time : 0.000 0.44/0.84 # Success case prop encoding time : 0.000 0.44/0.84 # Success case prop solver time : 0.000 0.44/0.84 # Current number of processed clauses : 471 0.44/0.84 # Positive orientable unit clauses : 185 0.44/0.84 # Positive unorientable unit clauses: 16 0.44/0.84 # Negative unit clauses : 28 0.44/0.84 # Non-unit-clauses : 242 0.44/0.84 # Current number of unprocessed clauses: 843 0.44/0.84 # ...number of literals in the above : 1802 0.44/0.84 # Current number of archived formulas : 0 0.44/0.84 # Current number of archived clauses : 113 0.44/0.84 # Clause-clause subsumption calls (NU) : 27154 0.44/0.84 # Rec. Clause-clause subsumption calls : 17407 0.44/0.84 # Non-unit clause-clause subsumptions : 116 0.44/0.84 # Unit Clause-clause subsumption calls : 975 0.44/0.84 # Rewrite failures with RHS unbound : 0 0.44/0.84 # BW rewrite match attempts : 326 0.44/0.84 # BW rewrite match successes : 290 0.44/0.84 # Condensation attempts : 972 0.44/0.84 # Condensation successes : 0 0.44/0.84 # Termbank termtop insertions : 115525 0.44/0.84 0.44/0.84 # ------------------------------------------------- 0.44/0.84 # User time : 0.177 s 0.44/0.84 # System time : 0.022 s 0.44/0.84 # Total time : 0.199 s 0.44/0.84 # Maximum resident set size: 9180 pages 0.44/0.84 0.44/0.84 # ------------------------------------------------- 0.44/0.84 # User time : 0.218 s 0.44/0.84 # System time : 0.027 s 0.44/0.84 # Total time : 0.245 s 0.44/0.84 # Maximum resident set size: 3628 pages 0.44/0.84 EOF