0.11/0.27 % Problem : SLH0022^1 : TPTP v8.2.0. Released v8.2.0. 0.27/0.28 % Command : run_E %s %d THM 0.27/0.49 % Computer : n010.cluster.edu 0.27/0.49 % Model : x86_64 x86_64 0.27/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.27/0.49 % Memory : 8042.1875MB 0.27/0.49 % OS : Linux 3.10.0-693.el7.x86_64 0.27/0.49 % CPULimit : 30 0.27/0.49 % WCLimit : 30 0.27/0.49 % DateTime : Mon Jul 3 08:13:24 EDT 2023 0.27/0.49 % CPUTime : 0.42/0.62 The problem SPC is TH0_THM_EQU_NAR 0.42/0.62 Running higher-order on 1 cores theorem proving 0.42/0.62 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.CeS5beA1Jz/Vampire---4.8_21914 0.42/0.62 # Version: 3.0pre003-ho 0.47/0.85 # Preprocessing class: HMLSSMSMSSSNSFA. 0.47/0.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.47/0.85 # Starting sh3 with 30s (1) cores 0.47/0.85 # sh3 with pid 22258 completed with status 0 0.47/0.85 # Result found by sh3 0.47/0.85 # Preprocessing class: HMLSSMSMSSSNSFA. 0.47/0.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.47/0.85 # Starting sh3 with 30s (1) cores 0.47/0.85 # No SInE strategy applied 0.47/0.85 # Search class: HGHSM-SMLM31-DSFFFFBN 0.47/0.85 # partial match(1): HGHSM-SMLM31-MSFFFFBN 0.47/0.85 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.47/0.85 # Starting sh6 with 17s (1) cores 0.47/0.85 # sh6 with pid 22313 completed with status 0 0.47/0.85 # Result found by sh6 0.47/0.85 # Preprocessing class: HMLSSMSMSSSNSFA. 0.47/0.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.47/0.85 # Starting sh3 with 30s (1) cores 0.47/0.85 # No SInE strategy applied 0.47/0.85 # Search class: HGHSM-SMLM31-DSFFFFBN 0.47/0.85 # partial match(1): HGHSM-SMLM31-MSFFFFBN 0.47/0.85 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.47/0.85 # Starting sh6 with 17s (1) cores 0.47/0.85 # Preprocessing time : 0.026 s 0.47/0.85 # Presaturation interreduction done 0.47/0.85 0.47/0.85 # Proof found! 0.47/0.85 # SZS status Theorem 0.47/0.85 # SZS output start CNFRefutation 0.47/0.85 thf(decl_22, type, abs_ky5074908690697402296poly_a: int > kyber_qr_a > int). 0.47/0.85 thf(decl_23, type, archim7802044766580827645g_real: real > int). 0.47/0.85 thf(decl_24, type, archim8280529875227126926d_real: real > int). 0.47/0.85 thf(decl_25, type, bit_se4203085406695923979it_int: nat > int > int). 0.47/0.85 thf(decl_26, type, bit_se4205575877204974255it_nat: nat > nat > nat). 0.47/0.85 thf(decl_27, type, kyber_compress: int > nat > int > int). 0.47/0.85 thf(decl_28, type, kyber_decompress: int > nat > int > int). 0.47/0.85 thf(decl_29, type, minus_minus_int: int > int > int). 0.47/0.85 thf(decl_30, type, minus_3375643675566563378r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 0.47/0.85 thf(decl_31, type, minus_minus_nat: nat > nat > nat). 0.47/0.85 thf(decl_32, type, minus_minus_real: real > real > real). 0.47/0.85 thf(decl_33, type, one_one_int: int). 0.47/0.85 thf(decl_34, type, one_one_Kyber_qr_a: kyber_qr_a). 0.47/0.85 thf(decl_35, type, one_one_nat: nat). 0.47/0.85 thf(decl_36, type, one_one_real: real). 0.47/0.85 thf(decl_37, type, plus_plus_int: int > int > int). 0.47/0.85 thf(decl_38, type, times_times_int: int > int > int). 0.47/0.85 thf(decl_39, type, times_2095635435063429214r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 0.47/0.85 thf(decl_40, type, times_times_nat: nat > nat > nat). 0.47/0.85 thf(decl_41, type, times_times_num: num > num > num). 0.47/0.85 thf(decl_42, type, times_times_real: real > real > real). 0.47/0.85 thf(decl_43, type, zero_zero_int: int). 0.47/0.85 thf(decl_44, type, zero_zero_Kyber_qr_a: kyber_qr_a). 0.47/0.85 thf(decl_45, type, zero_zero_nat: nat). 0.47/0.85 thf(decl_46, type, zero_zero_real: real). 0.47/0.85 thf(decl_47, type, if_int: $o > int > int > int). 0.47/0.85 thf(decl_48, type, if_nat: $o > nat > nat > nat). 0.47/0.85 thf(decl_49, type, if_real: $o > real > real > real). 0.47/0.85 thf(decl_50, type, ring_1_of_int_int: int > int). 0.47/0.85 thf(decl_51, type, ring_11037069808602775208r_qr_a: int > kyber_qr_a). 0.47/0.85 thf(decl_52, type, ring_1_of_int_real: int > real). 0.47/0.85 thf(decl_53, type, mod_Pl7661688178770475124_minus: int > int > int). 0.47/0.85 thf(decl_54, type, bit0: num > num). 0.47/0.85 thf(decl_55, type, one: num). 0.47/0.85 thf(decl_56, type, numeral_numeral_int: num > int). 0.47/0.85 thf(decl_57, type, numeral_numeral_nat: num > nat). 0.47/0.85 thf(decl_58, type, numeral_numeral_real: num > real). 0.47/0.85 thf(decl_59, type, ord_less_int: int > int > $o). 0.47/0.85 thf(decl_60, type, ord_less_nat: nat > nat > $o). 0.47/0.85 thf(decl_61, type, ord_less_num: num > num > $o). 0.47/0.85 thf(decl_62, type, ord_less_real: real > real > $o). 0.47/0.85 thf(decl_63, type, ord_less_eq_int: int > int > $o). 0.47/0.85 thf(decl_64, type, ord_less_eq_nat: nat > nat > $o). 0.47/0.85 thf(decl_65, type, ord_less_eq_num: num > num > $o). 0.47/0.85 thf(decl_66, type, ord_less_eq_real: real > real > $o). 0.47/0.85 thf(decl_67, type, power_power_int: int > nat > int). 0.47/0.85 thf(decl_68, type, power_5122640293590465123r_qr_a: kyber_qr_a > nat > kyber_qr_a). 0.47/0.85 thf(decl_69, type, power_power_nat: nat > nat > nat). 0.47/0.85 thf(decl_70, type, power_power_real: real > nat > real). 0.47/0.85 thf(decl_71, type, divide_divide_int: int > int > int). 0.47/0.85 thf(decl_72, type, divide_divide_nat: nat > nat > nat). 0.47/0.85 thf(decl_73, type, divide_divide_real: real > real > real). 0.47/0.85 thf(decl_74, type, dvd_dvd_int: int > int > $o). 0.47/0.85 thf(decl_75, type, dvd_dvd_Kyber_qr_a: kyber_qr_a > kyber_qr_a > $o). 0.47/0.85 thf(decl_76, type, dvd_dvd_nat: nat > nat > $o). 0.47/0.85 thf(decl_77, type, dvd_dvd_real: real > real > $o). 0.47/0.85 thf(decl_78, type, modulo_modulo_int: int > int > int). 0.47/0.85 thf(decl_79, type, modulo_modulo_nat: nat > nat > nat). 0.47/0.85 thf(decl_80, type, modulo_modulo_real: real > real > real). 0.47/0.85 thf(decl_81, type, collect_int: (int > $o) > set_int). 0.47/0.85 thf(decl_82, type, set_or1266510415728281911st_int: int > int > set_int). 0.47/0.85 thf(decl_83, type, member_int: int > set_int > $o). 0.47/0.85 thf(decl_84, type, d: nat). 0.47/0.85 thf(decl_85, type, n: nat). 0.47/0.85 thf(decl_86, type, q: int). 0.47/0.85 thf(decl_87, type, x: int). 0.47/0.85 thf(decl_88, type, esk1_1: (real > real > $o) > real). 0.47/0.85 thf(decl_89, type, esk2_1: (real > real > $o) > real). 0.47/0.85 thf(decl_90, type, esk3_1: (real > real > $o) > real). 0.47/0.85 thf(decl_91, type, esk4_1: (int > int > $o) > int). 0.47/0.85 thf(decl_92, type, esk5_1: (int > int > $o) > int). 0.47/0.85 thf(decl_93, type, esk6_1: (int > int > $o) > int). 0.47/0.85 thf(decl_94, type, esk7_1: (nat > nat > $o) > nat). 0.47/0.85 thf(decl_95, type, esk8_1: (nat > nat > $o) > nat). 0.47/0.85 thf(decl_96, type, esk9_1: (nat > nat > $o) > nat). 0.47/0.85 thf(decl_97, type, esk10_2: int > int > int). 0.47/0.85 thf(decl_98, type, esk11_1: real > real). 0.47/0.85 thf(decl_99, type, esk12_1: real > real). 0.47/0.85 thf(decl_100, type, esk13_2: (int > $o) > real > int). 0.47/0.85 thf(decl_101, type, esk14_2: int > int > int). 0.47/0.85 thf(decl_102, type, esk15_2: real > real > real). 0.47/0.85 thf(decl_103, type, esk16_2: nat > nat > nat). 0.47/0.85 thf(decl_104, type, esk17_2: int > int > int). 0.47/0.85 thf(decl_105, type, esk18_2: real > real > real). 0.47/0.85 thf(decl_106, type, esk19_2: nat > nat > nat). 0.47/0.85 thf(decl_107, type, esk20_1: real > int). 0.47/0.85 thf(decl_108, type, esk21_1: real > int). 0.47/0.85 thf(decl_109, type, esk22_1: real > int). 0.47/0.85 thf(decl_110, type, esk23_2: real > real > real). 0.47/0.85 thf(decl_111, type, esk24_3: int > int > (int > $o) > int). 0.47/0.85 thf(decl_112, type, esk25_3: int > int > (int > $o) > int). 0.47/0.85 thf(decl_113, type, esk26_2: real > real > nat). 0.47/0.85 thf(decl_114, type, esk27_2: (nat > $o) > nat > nat). 0.47/0.85 thf(decl_115, type, esk28_2: real > real > nat). 0.47/0.85 thf(decl_116, type, esk29_1: (nat > nat) > nat). 0.47/0.85 thf(decl_117, type, esk30_1: (nat > nat) > nat). 0.47/0.85 thf(decl_118, type, esk31_2: (nat > $o) > nat > nat). 0.47/0.85 thf(decl_119, type, esk32_1: (nat > $o) > nat). 0.47/0.85 thf(decl_120, type, esk33_1: (nat > $o) > nat). 0.47/0.85 thf(decl_121, type, esk34_1: (nat > $o) > nat). 0.47/0.85 thf(decl_122, type, esk35_2: nat > real > real). 0.47/0.85 thf(decl_123, type, esk36_2: nat > real > real). 0.47/0.85 thf(decl_124, type, esk37_1: (nat > $o) > nat). 0.47/0.85 thf(decl_125, type, epred1_1: set_int > int > $o). 0.47/0.85 thf(conj_0, conjecture, ((modulo_modulo_int @ (archim8280529875227126926d_real @ (divide_divide_real @ (ring_1_of_int_real @ (times_times_int @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d) @ x)) @ (ring_1_of_int_real @ q))) @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d))=(zero_zero_int)), file('/export/starexec/sandbox/tmp/tmp.CeS5beA1Jz/Vampire---4.8_21914', conj_0)). 0.47/0.85 thf(fact_1__092_060open_062round_A_Ireal__of__int_A_I2_A_094_Ad_A_K_Ax_J_A_P_Areal__of__int_Aq_J_A_061_A2_A_094_Ad_092_060close_062, axiom, ((archim8280529875227126926d_real @ (divide_divide_real @ (ring_1_of_int_real @ (times_times_int @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d) @ x)) @ (ring_1_of_int_real @ q)))=(power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d)), file('/export/starexec/sandbox/tmp/tmp.CeS5beA1Jz/Vampire---4.8_21914', fact_1__092_060open_062round_A_Ireal__of__int_A_I2_A_094_Ad_A_K_Ax_J_A_P_Areal__of__int_Aq_J_A_061_A2_A_094_Ad_092_060close_062)). 0.47/0.85 thf(fact_200_mod__self, axiom, ![X221:int]:(((modulo_modulo_int @ X221 @ X221)=(zero_zero_int))), file('/export/starexec/sandbox/tmp/tmp.CeS5beA1Jz/Vampire---4.8_21914', fact_200_mod__self)). 0.47/0.85 thf(c_0_3, negated_conjecture, ((modulo_modulo_int @ (archim8280529875227126926d_real @ (divide_divide_real @ (ring_1_of_int_real @ (times_times_int @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d) @ x)) @ (ring_1_of_int_real @ q))) @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d))!=(zero_zero_int)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.47/0.85 thf(c_0_4, negated_conjecture, ((modulo_modulo_int @ (archim8280529875227126926d_real @ (divide_divide_real @ (ring_1_of_int_real @ (times_times_int @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d) @ x)) @ (ring_1_of_int_real @ q))) @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d))!=(zero_zero_int)), inference(split_conjunct,[status(thm)],[c_0_3])). 0.47/0.85 thf(c_0_5, plain, ((archim8280529875227126926d_real @ (divide_divide_real @ (ring_1_of_int_real @ (times_times_int @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d) @ x)) @ (ring_1_of_int_real @ q)))=(power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d)), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062round_A_Ireal__of__int_A_I2_A_094_Ad_A_K_Ax_J_A_P_Areal__of__int_Aq_J_A_061_A2_A_094_Ad_092_060close_062])). 0.47/0.85 thf(c_0_6, plain, ![X4701:int]:(((modulo_modulo_int @ X4701 @ X4701)=(zero_zero_int))), inference(variable_rename,[status(thm)],[fact_200_mod__self])). 0.47/0.85 thf(c_0_7, negated_conjecture, ((modulo_modulo_int @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d) @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ d))!=(zero_zero_int)), inference(rw,[status(thm)],[c_0_4, c_0_5])). 0.47/0.85 thf(c_0_8, plain, ![X2:int]:(((modulo_modulo_int @ X2 @ X2)=(zero_zero_int))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.47/0.85 thf(c_0_9, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])]), ['proof']). 0.47/0.85 # SZS output end CNFRefutation 0.47/0.85 # Parsed axioms : 1348 0.47/0.85 # Removed by relevancy pruning/SinE : 0 0.47/0.85 # Initial clauses : 2130 0.47/0.85 # Removed in clause preprocessing : 151 0.47/0.85 # Initial clauses in saturation : 1979 0.47/0.85 # Processed clauses : 106 0.47/0.85 # ...of these trivial : 10 0.47/0.85 # ...subsumed : 22 0.47/0.85 # ...remaining for further processing : 74 0.47/0.85 # Other redundant clauses eliminated : 12 0.47/0.85 # Clauses deleted for lack of memory : 0 0.47/0.85 # Backward-subsumed : 0 0.47/0.85 # Backward-rewritten : 3 0.47/0.85 # Generated clauses : 12 0.47/0.85 # ...of the previous two non-redundant : 7 0.47/0.85 # ...aggressively subsumed : 0 0.47/0.85 # Contextual simplify-reflections : 0 0.47/0.85 # Paramodulations : 0 0.47/0.85 # Factorizations : 0 0.47/0.85 # NegExts : 0 0.47/0.85 # Equation resolutions : 12 0.47/0.85 # Propositional unsat checks : 0 0.47/0.85 # Propositional check models : 0 0.47/0.85 # Propositional check unsatisfiable : 0 0.47/0.85 # Propositional clauses : 0 0.47/0.85 # Propositional clauses after purity: 0 0.47/0.85 # Propositional unsat core size : 0 0.47/0.85 # Propositional preprocessing time : 0.000 0.47/0.85 # Propositional encoding time : 0.000 0.47/0.85 # Propositional solver time : 0.000 0.47/0.85 # Success case prop preproc time : 0.000 0.47/0.85 # Success case prop encoding time : 0.000 0.47/0.85 # Success case prop solver time : 0.000 0.47/0.85 # Current number of processed clauses : 59 0.47/0.85 # Positive orientable unit clauses : 30 0.47/0.85 # Positive unorientable unit clauses: 0 0.47/0.85 # Negative unit clauses : 25 0.47/0.85 # Non-unit-clauses : 4 0.47/0.85 # Current number of unprocessed clauses: 1880 0.47/0.85 # ...number of literals in the above : 4458 0.47/0.85 # Current number of archived formulas : 0 0.47/0.85 # Current number of archived clauses : 3 0.47/0.85 # Clause-clause subsumption calls (NU) : 12 0.47/0.85 # Rec. Clause-clause subsumption calls : 8 0.47/0.85 # Non-unit clause-clause subsumptions : 5 0.47/0.85 # Unit Clause-clause subsumption calls : 97 0.47/0.85 # Rewrite failures with RHS unbound : 0 0.47/0.85 # BW rewrite match attempts : 9 0.47/0.85 # BW rewrite match successes : 3 0.47/0.85 # Condensation attempts : 0 0.47/0.85 # Condensation successes : 0 0.47/0.85 # Termbank termtop insertions : 130924 0.47/0.85 0.47/0.85 # ------------------------------------------------- 0.47/0.85 # User time : 0.154 s 0.47/0.85 # System time : 0.017 s 0.47/0.85 # Total time : 0.171 s 0.47/0.85 # Maximum resident set size: 10324 pages 0.47/0.85 0.47/0.85 # ------------------------------------------------- 0.47/0.85 # User time : 0.205 s 0.47/0.85 # System time : 0.022 s 0.47/0.85 # Total time : 0.227 s 0.47/0.85 # Maximum resident set size: 4040 pages 0.47/0.85 EOF