0.11/0.13 % Problem : SLH018^1 : TPTP v7.5.0. Released v7.5.0. 0.11/0.14 % Command : run_E %s %d THM 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 30 0.14/0.35 % WCLimit : 30 0.14/0.35 % DateTime : Tue Aug 9 02:15:05 EDT 2022 0.14/0.35 % CPUTime : 0.21/0.48 The problem SPC is TH0_THM_EQU_NAR 0.21/0.48 Running higher-order on 1 cores theorem proving 0.21/0.48 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/benchmark/theBenchmark.p 0.21/0.49 # Version: 3.0pre003-ho 0.42/0.59 # Preprocessing class: HSLSSMSMSSLNSFA. 0.42/0.59 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.59 # Starting sh7 with 30s (1) cores 0.42/0.59 # sh7 with pid 23260 completed with status 0 0.42/0.59 # Result found by sh7 0.42/0.59 # Preprocessing class: HSLSSMSMSSLNSFA. 0.42/0.59 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.59 # Starting sh7 with 30s (1) cores 0.42/0.59 # No SInE strategy applied 0.42/0.59 # Search class: HGHSM-FSLM31-MSFFFSBN 0.42/0.59 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.42/0.59 # Starting new_bool_8 with 17s (1) cores 0.42/0.59 # new_bool_8 with pid 23261 completed with status 0 0.42/0.59 # Result found by new_bool_8 0.42/0.59 # Preprocessing class: HSLSSMSMSSLNSFA. 0.42/0.59 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.59 # Starting sh7 with 30s (1) cores 0.42/0.59 # No SInE strategy applied 0.42/0.59 # Search class: HGHSM-FSLM31-MSFFFSBN 0.42/0.59 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.42/0.59 # Starting new_bool_8 with 17s (1) cores 0.42/0.59 # Preprocessing time : 0.009 s 0.42/0.59 # Presaturation interreduction done 0.42/0.59 0.42/0.59 # Proof found! 0.42/0.59 # SZS status Theorem 0.42/0.59 # SZS output start CNFRefutation 0.42/0.59 thf(decl_22, type, finite_finite_int: set_int > $o). 0.42/0.59 thf(decl_23, type, finite_finite_nat: set_nat > $o). 0.42/0.59 thf(decl_24, type, finite1810960971y_real: set_poly_real > $o). 0.42/0.59 thf(decl_25, type, finite_finite_real: set_real > $o). 0.42/0.59 thf(decl_26, type, one_one_int: int). 0.42/0.59 thf(decl_27, type, one_one_nat: nat). 0.42/0.59 thf(decl_28, type, one_one_poly_int: poly_int). 0.42/0.59 thf(decl_29, type, one_one_poly_nat: poly_nat). 0.42/0.59 thf(decl_30, type, one_on501200385y_real: poly_poly_real). 0.42/0.59 thf(decl_31, type, one_one_poly_real: poly_real). 0.42/0.59 thf(decl_32, type, one_one_real: real). 0.42/0.59 thf(decl_33, type, plus_plus_int: int > int > int). 0.42/0.59 thf(decl_34, type, times_times_int: int > int > int). 0.42/0.59 thf(decl_35, type, times_times_nat: nat > nat > nat). 0.42/0.59 thf(decl_36, type, times_times_poly_int: poly_int > poly_int > poly_int). 0.42/0.59 thf(decl_37, type, times_times_poly_nat: poly_nat > poly_nat > poly_nat). 0.42/0.59 thf(decl_38, type, times_614468161y_real: poly_poly_real > poly_poly_real > poly_poly_real). 0.42/0.59 thf(decl_39, type, times_775122617y_real: poly_real > poly_real > poly_real). 0.42/0.59 thf(decl_40, type, times_times_real: real > real > real). 0.42/0.59 thf(decl_41, type, zero_zero_int: int). 0.42/0.59 thf(decl_42, type, zero_zero_nat: nat). 0.42/0.59 thf(decl_43, type, zero_zero_poly_int: poly_int). 0.42/0.59 thf(decl_44, type, zero_zero_poly_nat: poly_nat). 0.42/0.59 thf(decl_45, type, zero_z1423781445y_real: poly_poly_real). 0.42/0.59 thf(decl_46, type, zero_zero_poly_real: poly_real). 0.42/0.59 thf(decl_47, type, zero_zero_real: real). 0.42/0.59 thf(decl_48, type, groups2051521940al_int: (real > int) > set_real > int). 0.42/0.59 thf(decl_49, type, lattic843767421x_real: set_real > real). 0.42/0.59 thf(decl_50, type, bot_bot_set_int: set_int). 0.42/0.59 thf(decl_51, type, bot_bot_set_nat: set_nat). 0.42/0.59 thf(decl_52, type, bot_bot_set_real: set_real). 0.42/0.59 thf(decl_53, type, ord_less_int: int > int > $o). 0.42/0.59 thf(decl_54, type, ord_less_nat: nat > nat > $o). 0.42/0.59 thf(decl_55, type, ord_less_poly_real: poly_real > poly_real > $o). 0.42/0.59 thf(decl_56, type, ord_less_real: real > real > $o). 0.42/0.59 thf(decl_57, type, ord_less_set_int: set_int > set_int > $o). 0.42/0.59 thf(decl_58, type, ord_less_set_nat: set_nat > set_nat > $o). 0.42/0.59 thf(decl_59, type, ord_less_set_real: set_real > set_real > $o). 0.42/0.59 thf(decl_60, type, degree_real: poly_real > nat). 0.42/0.59 thf(decl_61, type, is_zero_real: poly_real > $o). 0.42/0.59 thf(decl_62, type, order_int: int > poly_int > nat). 0.42/0.59 thf(decl_63, type, order_poly_real: poly_real > poly_poly_real > nat). 0.42/0.59 thf(decl_64, type, order_real: real > poly_real > nat). 0.42/0.59 thf(decl_65, type, poly_int2: poly_int > int > int). 0.42/0.59 thf(decl_66, type, poly_nat2: poly_nat > nat > nat). 0.42/0.59 thf(decl_67, type, poly_poly_real2: poly_poly_real > poly_real > poly_real). 0.42/0.59 thf(decl_68, type, poly_real2: poly_real > real > real). 0.42/0.59 thf(decl_69, type, coeff_int: poly_int > nat > int). 0.42/0.59 thf(decl_70, type, coeff_nat: poly_nat > nat > nat). 0.42/0.59 thf(decl_71, type, coeff_poly_real: poly_poly_real > nat > poly_real). 0.42/0.59 thf(decl_72, type, coeff_real: poly_real > nat > real). 0.42/0.59 thf(decl_73, type, poly_cutoff_int: nat > poly_int > poly_int). 0.42/0.59 thf(decl_74, type, poly_cutoff_nat: nat > poly_nat > poly_nat). 0.42/0.59 thf(decl_75, type, poly_c1404107022y_real: nat > poly_poly_real > poly_poly_real). 0.42/0.59 thf(decl_76, type, poly_cutoff_real: nat > poly_real > poly_real). 0.42/0.59 thf(decl_77, type, reflect_poly_int: poly_int > poly_int). 0.42/0.59 thf(decl_78, type, reflect_poly_nat: poly_nat > poly_nat). 0.42/0.59 thf(decl_79, type, reflec1522834046y_real: poly_poly_real > poly_poly_real). 0.42/0.59 thf(decl_80, type, reflect_poly_real: poly_real > poly_real). 0.42/0.59 thf(decl_81, type, collect_int: (int > $o) > set_int). 0.42/0.59 thf(decl_82, type, collect_nat: (nat > $o) > set_nat). 0.42/0.59 thf(decl_83, type, collect_poly_real: (poly_real > $o) > set_poly_real). 0.42/0.59 thf(decl_84, type, collect_real: (real > $o) > set_real). 0.42/0.59 thf(decl_85, type, sturm_308542325x_poly: real > real > poly_real > poly_real > int). 0.42/0.59 thf(decl_86, type, sturm_1953858694_cross: poly_real > real > real > int). 0.42/0.59 thf(decl_87, type, sturm_276991412p_poly: poly_real > poly_real > real > int). 0.42/0.59 thf(decl_88, type, sturm_1567101028gn_int: int > int). 0.42/0.59 thf(decl_89, type, sturm_929827336gn_nat: nat > int). 0.42/0.59 thf(decl_90, type, sturm_829009004y_real: poly_real > int). 0.42/0.59 thf(decl_91, type, sturm_1741377764n_real: real > int). 0.42/0.59 thf(decl_92, type, arcosh_real: real > real). 0.42/0.59 thf(decl_93, type, arsinh_real: real > real). 0.42/0.59 thf(decl_94, type, artanh_real: real > real). 0.42/0.59 thf(decl_95, type, sin_coeff: nat > real). 0.42/0.59 thf(decl_96, type, member_int: int > set_int > $o). 0.42/0.59 thf(decl_97, type, member_nat: nat > set_nat > $o). 0.42/0.59 thf(decl_98, type, member_real: real > set_real > $o). 0.42/0.59 thf(decl_99, type, a: real). 0.42/0.59 thf(decl_100, type, b: real). 0.42/0.59 thf(decl_101, type, max_r: real). 0.42/0.59 thf(decl_102, type, max_r_sign: int). 0.42/0.59 thf(decl_103, type, max_rp: poly_real). 0.42/0.59 thf(decl_104, type, p: poly_real). 0.42/0.59 thf(decl_105, type, p2: poly_real). 0.42/0.59 thf(decl_106, type, pa: poly_real). 0.42/0.59 thf(decl_107, type, roots: set_real). 0.42/0.59 thf(decl_108, type, roots2: set_real). 0.42/0.59 thf(decl_109, type, esk1_1: poly_poly_real > poly_real). 0.42/0.59 thf(decl_110, type, esk2_1: poly_real > real). 0.42/0.59 thf(decl_111, type, esk3_1: poly_int > int). 0.42/0.59 thf(decl_112, type, esk4_3: real > real > poly_real > real). 0.42/0.59 thf(decl_113, type, esk5_2: (real > $o) > (real > $o) > real). 0.42/0.59 thf(decl_114, type, esk6_2: (nat > $o) > (nat > $o) > nat). 0.42/0.59 thf(decl_115, type, esk7_2: (int > $o) > (int > $o) > int). 0.42/0.59 thf(decl_116, type, esk8_3: set_real > set_real > (real > real > $o) > real). 0.42/0.59 thf(decl_117, type, esk9_3: set_real > set_real > (real > real > $o) > real). 0.42/0.59 thf(decl_118, type, esk10_3: set_real > set_nat > (real > nat > $o) > real). 0.42/0.59 thf(decl_119, type, esk11_3: set_real > set_nat > (real > nat > $o) > nat). 0.42/0.59 thf(decl_120, type, esk12_3: set_real > set_int > (real > int > $o) > real). 0.42/0.59 thf(decl_121, type, esk13_3: set_real > set_int > (real > int > $o) > int). 0.42/0.59 thf(decl_122, type, esk14_3: set_nat > set_real > (nat > real > $o) > nat). 0.42/0.59 thf(decl_123, type, esk15_3: set_nat > set_real > (nat > real > $o) > real). 0.42/0.59 thf(decl_124, type, esk16_3: set_nat > set_nat > (nat > nat > $o) > nat). 0.42/0.59 thf(decl_125, type, esk17_3: set_nat > set_nat > (nat > nat > $o) > nat). 0.42/0.59 thf(decl_126, type, esk18_3: set_nat > set_int > (nat > int > $o) > nat). 0.42/0.59 thf(decl_127, type, esk19_3: set_nat > set_int > (nat > int > $o) > int). 0.42/0.59 thf(decl_128, type, esk20_3: set_int > set_real > (int > real > $o) > int). 0.42/0.59 thf(decl_129, type, esk21_3: set_int > set_real > (int > real > $o) > real). 0.42/0.59 thf(decl_130, type, esk22_3: set_int > set_nat > (int > nat > $o) > int). 0.42/0.59 thf(decl_131, type, esk23_3: set_int > set_nat > (int > nat > $o) > nat). 0.42/0.59 thf(decl_132, type, esk24_3: set_int > set_int > (int > int > $o) > int). 0.42/0.59 thf(decl_133, type, esk25_3: set_int > set_int > (int > int > $o) > int). 0.42/0.59 thf(decl_134, type, esk26_1: (real > $o) > real). 0.42/0.59 thf(decl_135, type, esk27_1: (nat > $o) > nat). 0.42/0.59 thf(decl_136, type, esk28_1: (int > $o) > int). 0.42/0.59 thf(decl_137, type, esk29_3: real > real > poly_real > real). 0.42/0.59 thf(decl_138, type, esk30_3: real > real > poly_real > real). 0.42/0.59 thf(decl_139, type, esk31_2: set_real > (set_real > $o) > set_real). 0.42/0.59 thf(decl_140, type, esk32_2: set_nat > (set_nat > $o) > set_nat). 0.42/0.59 thf(decl_141, type, esk33_2: set_int > (set_int > $o) > set_int). 0.42/0.59 thf(decl_142, type, esk34_1: (nat > $o) > nat). 0.42/0.59 thf(decl_143, type, esk35_3: real > real > poly_real > real). 0.42/0.59 thf(decl_144, type, esk36_1: (nat > $o) > nat). 0.42/0.59 thf(decl_145, type, esk37_1: (nat > $o) > nat). 0.42/0.59 thf(decl_146, type, epred1_0: real > $o). 0.42/0.59 thf(decl_147, type, epred2_1: set_real > real > $o). 0.42/0.59 thf(decl_148, type, epred3_1: set_nat > nat > $o). 0.42/0.59 thf(decl_149, type, epred4_1: set_int > int > $o). 0.42/0.59 thf(decl_150, type, epred5_2: (real > $o) > (real > $o) > real > $o). 0.42/0.59 thf(decl_151, type, epred6_2: (nat > $o) > (nat > $o) > nat > $o). 0.42/0.59 thf(decl_152, type, epred7_2: (int > $o) > (int > $o) > int > $o). 0.42/0.59 thf(decl_153, type, epred8_2: (real > $o) > (real > $o) > real > $o). 0.42/0.59 thf(decl_154, type, epred9_2: (nat > $o) > (nat > $o) > nat > $o). 0.42/0.59 thf(decl_155, type, epred10_2: (int > $o) > (int > $o) > int > $o). 0.42/0.59 thf(decl_156, type, epred11_0: real > $o). 0.42/0.59 thf(decl_157, type, epred12_3: (real > real > $o) > set_real > set_real > real > $o). 0.42/0.59 thf(decl_158, type, epred13_3: (real > nat > $o) > set_nat > set_real > real > $o). 0.42/0.59 thf(decl_159, type, epred14_3: (real > int > $o) > set_int > set_real > real > $o). 0.42/0.59 thf(decl_160, type, epred15_3: (nat > real > $o) > set_nat > set_real > nat > $o). 0.42/0.59 thf(decl_161, type, epred16_3: (nat > nat > $o) > set_nat > set_nat > nat > $o). 0.42/0.59 thf(decl_162, type, epred17_3: (nat > int > $o) > set_int > set_nat > nat > $o). 0.42/0.59 thf(decl_163, type, epred18_3: (int > real > $o) > set_int > set_real > int > $o). 0.42/0.59 thf(decl_164, type, epred19_3: (int > nat > $o) > set_int > set_nat > int > $o). 0.42/0.59 thf(decl_165, type, epred20_3: (int > int > $o) > set_int > set_int > int > $o). 0.42/0.59 thf(decl_166, type, epred21_1: poly_poly_real > poly_real > $o). 0.42/0.59 thf(decl_167, type, epred22_1: poly_int > int > $o). 0.42/0.59 thf(decl_168, type, epred23_1: poly_real > real > $o). 0.42/0.59 thf(decl_169, type, epred24_1: poly_real > real > $o). 0.42/0.59 thf(decl_170, type, epred25_1: nat > nat > $o). 0.42/0.59 thf(decl_171, type, epred26_2: int > int > int > $o). 0.42/0.59 thf(decl_172, type, esk38_0: real > int). 0.42/0.59 thf(decl_173, type, epred27_3: real > poly_real > real > real > $o). 0.42/0.59 thf(decl_174, type, esk39_0: real). 0.42/0.59 thf(decl_175, type, esk40_0: real). 0.42/0.59 thf(decl_176, type, esk41_1: set_real > real). 0.42/0.59 thf(decl_177, type, esk42_1: set_real > real). 0.42/0.59 thf(decl_178, type, esk43_0: real). 0.42/0.59 thf(decl_179, type, esk44_2: poly_real > poly_real > real). 0.42/0.59 thf(fact_18_order__root, axiom, ![X14:poly_real, X15:real]:((((poly_real2 @ X14 @ X15)=(zero_zero_real))<=>(((X14)=(zero_zero_poly_real))|((order_real @ X15 @ X14)!=(zero_zero_nat))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_18_order__root)). 0.42/0.59 thf(conj_0, conjecture, ((order_real @ max_r @ pa)!=(zero_zero_nat)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.42/0.59 thf(fact_7__092_060open_062poly_Ap_Amax__r_A_061_A0_092_060close_062, axiom, ((poly_real2 @ pa @ max_r)=(zero_zero_real)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7__092_060open_062poly_Ap_Amax__r_A_061_A0_092_060close_062)). 0.42/0.59 thf(fact_0__092_060open_062p_A_092_060noteq_062_A0_092_060close_062, axiom, ((pa)!=(zero_zero_poly_real)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__092_060open_062p_A_092_060noteq_062_A0_092_060close_062)). 0.42/0.59 thf(c_0_4, plain, ![X1043:poly_real, X1044:real]:(((((poly_real2 @ X1043 @ X1044)!=(zero_zero_real))|(((X1043)=(zero_zero_poly_real))|((order_real @ X1044 @ X1043)!=(zero_zero_nat))))&((((X1043)!=(zero_zero_poly_real))|((poly_real2 @ X1043 @ X1044)=(zero_zero_real)))&(((order_real @ X1044 @ X1043)=(zero_zero_nat))|((poly_real2 @ X1043 @ X1044)=(zero_zero_real)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_18_order__root])])])). 0.42/0.59 thf(c_0_5, negated_conjecture, ((order_real @ max_r @ pa)=(zero_zero_nat)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.42/0.59 thf(c_0_6, plain, ![X3:real, X2:poly_real]:((((X2)=(zero_zero_poly_real))|((poly_real2 @ X2 @ X3)!=(zero_zero_real))|((order_real @ X3 @ X2)!=(zero_zero_nat)))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.42/0.59 thf(c_0_7, negated_conjecture, ((order_real @ max_r @ pa)=(zero_zero_nat)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.42/0.59 thf(c_0_8, plain, ((poly_real2 @ pa @ max_r)=(zero_zero_real)), inference(split_conjunct,[status(thm)],[fact_7__092_060open_062poly_Ap_Amax__r_A_061_A0_092_060close_062])). 0.42/0.59 thf(c_0_9, plain, ((pa)!=(zero_zero_poly_real)), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062p_A_092_060noteq_062_A0_092_060close_062])). 0.42/0.59 thf(c_0_10, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])]), c_0_9]), ['proof']). 0.42/0.59 # SZS output end CNFRefutation 0.42/0.59 # Parsed axioms : 446 0.42/0.59 # Removed by relevancy pruning/SinE : 0 0.42/0.59 # Initial clauses : 738 0.42/0.59 # Removed in clause preprocessing : 137 0.42/0.59 # Initial clauses in saturation : 601 0.42/0.59 # Processed clauses : 818 0.42/0.59 # ...of these trivial : 32 0.42/0.59 # ...subsumed : 99 0.42/0.59 # ...remaining for further processing : 687 0.42/0.59 # Other redundant clauses eliminated : 96 0.42/0.59 # Clauses deleted for lack of memory : 0 0.42/0.59 # Backward-subsumed : 0 0.42/0.59 # Backward-rewritten : 3 0.42/0.59 # Generated clauses : 169 0.42/0.59 # ...of the previous two non-redundant : 85 0.42/0.59 # ...aggressively subsumed : 0 0.42/0.59 # Contextual simplify-reflections : 0 0.42/0.59 # Paramodulations : 59 0.42/0.59 # Factorizations : 0 0.42/0.59 # NegExts : 6 0.42/0.59 # Equation resolutions : 97 0.42/0.59 # Propositional unsat checks : 0 0.42/0.59 # Propositional check models : 0 0.42/0.59 # Propositional check unsatisfiable : 0 0.42/0.59 # Propositional clauses : 0 0.42/0.59 # Propositional clauses after purity: 0 0.42/0.59 # Propositional unsat core size : 0 0.42/0.59 # Propositional preprocessing time : 0.000 0.42/0.59 # Propositional encoding time : 0.000 0.42/0.59 # Propositional solver time : 0.000 0.42/0.59 # Success case prop preproc time : 0.000 0.42/0.59 # Success case prop encoding time : 0.000 0.42/0.59 # Success case prop solver time : 0.000 0.42/0.59 # Current number of processed clauses : 172 0.42/0.59 # Positive orientable unit clauses : 72 0.42/0.59 # Positive unorientable unit clauses: 0 0.42/0.59 # Negative unit clauses : 30 0.42/0.59 # Non-unit-clauses : 70 0.42/0.59 # Current number of unprocessed clauses: 284 0.42/0.59 # ...number of literals in the above : 783 0.42/0.59 # Current number of archived formulas : 0 0.42/0.59 # Current number of archived clauses : 422 0.42/0.59 # Clause-clause subsumption calls (NU) : 32384 0.42/0.59 # Rec. Clause-clause subsumption calls : 21283 0.42/0.59 # Non-unit clause-clause subsumptions : 64 0.42/0.59 # Unit Clause-clause subsumption calls : 800 0.42/0.59 # Rewrite failures with RHS unbound : 0 0.42/0.59 # BW rewrite match attempts : 74 0.42/0.59 # BW rewrite match successes : 73 0.42/0.59 # Condensation attempts : 0 0.42/0.59 # Condensation successes : 0 0.42/0.59 # Termbank termtop insertions : 44237 0.42/0.59 0.42/0.59 # ------------------------------------------------- 0.42/0.59 # User time : 0.081 s 0.42/0.59 # System time : 0.010 s 0.42/0.59 # Total time : 0.091 s 0.42/0.59 # Maximum resident set size: 4672 pages 0.42/0.59 0.42/0.59 # ------------------------------------------------- 0.42/0.59 # User time : 0.092 s 0.42/0.59 # System time : 0.012 s 0.42/0.59 # Total time : 0.104 s 0.42/0.59 # Maximum resident set size: 2320 pages 0.42/0.59 EOF