0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n003.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 05:12:21 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.48 Running higher-order on 8 cores theorem proving 0.19/0.49 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=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.49 # Version: 3.0pre003-ho 0.19/0.54 # Preprocessing class: HSLSSMSSSSLNHSA. 0.19/0.54 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.54 # Starting pre_casc_6 with 480s (4) cores 0.19/0.54 # Starting sh4 with 240s (2) cores 0.19/0.54 # Starting pre_casc_4 with 120s (1) cores 0.19/0.54 # Starting full_lambda_7 with 120s (1) cores 0.19/0.54 # sh4 with pid 17495 completed with status 0 0.19/0.54 # Result found by sh4 0.19/0.54 # Preprocessing class: HSLSSMSSSSLNHSA. 0.19/0.54 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.54 # Starting pre_casc_6 with 480s (4) cores 0.19/0.54 # Starting sh4 with 240s (2) cores 0.19/0.54 # No SInE strategy applied 0.19/0.54 # Search class: HGHSM-FSLM32-MHSFFSBC 0.19/0.54 # Scheduled 6 strats onto 2 cores with 240 seconds (240 total) 0.19/0.54 # Starting ehoh_best4 with 117s (1) cores 0.19/0.54 # Starting sh4 with 25s (1) cores 0.19/0.54 # sh4 with pid 17505 completed with status 0 0.19/0.54 # Result found by sh4 0.19/0.54 # Preprocessing class: HSLSSMSSSSLNHSA. 0.19/0.54 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.54 # Starting pre_casc_6 with 480s (4) cores 0.19/0.54 # Starting sh4 with 240s (2) cores 0.19/0.54 # No SInE strategy applied 0.19/0.54 # Search class: HGHSM-FSLM32-MHSFFSBC 0.19/0.54 # Scheduled 6 strats onto 2 cores with 240 seconds (240 total) 0.19/0.54 # Starting ehoh_best4 with 117s (1) cores 0.19/0.54 # Starting sh4 with 25s (1) cores 0.19/0.54 # Preprocessing time : 0.007 s 0.19/0.54 0.19/0.54 # Proof found! 0.19/0.54 # SZS status Theorem 0.19/0.54 # SZS output start CNFRefutation 0.19/0.54 thf(decl_22, type, fun_upd_nat_nat: (nat > nat) > nat > nat > nat > nat). 0.19/0.54 thf(decl_23, type, minus_minus_nat: nat > nat > nat). 0.19/0.54 thf(decl_24, type, one_one_nat: nat). 0.19/0.54 thf(decl_25, type, times_times_nat: nat > nat > nat). 0.19/0.54 thf(decl_26, type, zero_zero_nat: nat). 0.19/0.54 thf(decl_27, type, groups1842438620at_nat: (nat > nat) > set_nat > nat). 0.19/0.54 thf(decl_28, type, if_nat: $o > nat > nat > nat). 0.19/0.54 thf(decl_29, type, number1551313001itions: (nat > nat) > nat > $o). 0.19/0.54 thf(decl_30, type, ord_less_nat: nat > nat > $o). 0.19/0.54 thf(decl_31, type, ord_less_eq_nat: nat > nat > $o). 0.19/0.54 thf(decl_32, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.19/0.54 thf(decl_33, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o). 0.19/0.54 thf(decl_34, type, collect_nat: (nat > $o) > set_nat). 0.19/0.54 thf(decl_35, type, collect_set_nat: (set_nat > $o) > set_set_nat). 0.19/0.54 thf(decl_36, type, set_ord_atMost_nat: nat > set_nat). 0.19/0.54 thf(decl_37, type, set_or1086813439et_nat: set_nat > set_set_nat). 0.19/0.54 thf(decl_38, type, member_nat: nat > set_nat > $o). 0.19/0.54 thf(decl_39, type, member_set_nat: set_nat > set_set_nat > $o). 0.19/0.54 thf(decl_40, type, k: nat). 0.19/0.54 thf(decl_41, type, n: nat). 0.19/0.54 thf(decl_42, type, p: nat > nat). 0.19/0.54 thf(decl_43, type, esk1_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.19/0.54 thf(decl_44, type, esk2_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.19/0.54 thf(decl_45, type, esk3_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.19/0.54 thf(decl_46, type, esk4_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.19/0.54 thf(decl_47, type, esk5_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_48, type, esk6_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_49, type, esk7_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_50, type, esk8_1: (nat > $o) > nat). 0.19/0.54 thf(decl_51, type, esk9_2: (nat > $o) > nat > nat). 0.19/0.54 thf(decl_52, type, esk10_1: (nat > $o) > nat). 0.19/0.54 thf(decl_53, type, esk11_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_54, type, esk12_1: nat > nat). 0.19/0.54 thf(decl_55, type, esk13_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_56, type, esk14_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.19/0.54 thf(decl_57, type, esk15_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.19/0.54 thf(decl_58, type, esk16_2: set_nat > (nat > nat) > nat). 0.19/0.54 thf(decl_59, type, esk17_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_60, type, esk18_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_61, type, esk19_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_62, type, esk20_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_63, type, esk21_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_64, type, esk22_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_65, type, esk23_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_66, type, esk24_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_67, type, esk25_2: set_nat > set_nat > nat). 0.19/0.54 thf(decl_68, type, esk26_2: (nat > $o) > nat > nat). 0.19/0.54 thf(decl_69, type, esk27_1: (nat > $o) > nat). 0.19/0.54 thf(decl_70, type, esk28_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_71, type, esk29_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_72, type, esk30_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_73, type, esk31_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_74, type, esk32_1: (nat > nat > $o) > nat). 0.19/0.54 thf(decl_75, type, esk33_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_76, type, esk34_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_77, type, esk35_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.19/0.54 thf(decl_78, type, esk36_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.19/0.54 thf(decl_79, type, esk37_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.19/0.54 thf(decl_80, type, esk38_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.19/0.54 thf(decl_81, type, esk39_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.19/0.54 thf(decl_82, type, esk40_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.19/0.54 thf(decl_83, type, esk41_1: (nat > $o) > nat). 0.19/0.54 thf(decl_84, type, esk42_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_85, type, esk43_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_86, type, esk44_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.19/0.54 thf(decl_87, type, esk45_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.19/0.54 thf(decl_88, type, esk46_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_89, type, esk47_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_90, type, esk48_1: (nat > nat) > nat). 0.19/0.54 thf(decl_91, type, esk49_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 0.19/0.54 thf(decl_92, type, esk50_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_93, type, esk51_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.19/0.54 thf(decl_94, type, esk52_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.19/0.54 thf(decl_95, type, esk53_2: (nat > $o) > nat > nat). 0.19/0.54 thf(decl_96, type, esk54_1: (nat > $o) > nat). 0.19/0.54 thf(decl_97, type, esk55_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_98, type, esk56_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_99, type, esk57_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_100, type, esk58_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_101, type, esk59_2: set_nat > (nat > nat) > nat). 0.19/0.54 thf(decl_102, type, esk60_1: (nat > $o) > nat). 0.19/0.54 thf(decl_103, type, esk61_3: set_nat > set_nat > (nat > nat) > nat). 0.19/0.54 thf(decl_104, type, esk62_4: set_nat > set_nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_105, type, esk63_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_106, type, esk64_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_107, type, esk65_4: nat > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_108, type, esk66_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_109, type, esk67_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_110, type, esk68_2: (nat > nat) > set_nat > nat). 0.19/0.54 thf(decl_111, type, esk69_2: (nat > nat) > nat > nat). 0.19/0.54 thf(decl_112, type, esk70_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_113, type, esk71_4: nat > nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_114, type, esk72_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_115, type, esk73_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.19/0.54 thf(decl_116, type, esk74_2: set_nat > (nat > nat) > nat). 0.19/0.54 thf(decl_117, type, esk75_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_118, type, esk76_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.19/0.54 thf(decl_119, type, esk77_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.19/0.54 thf(decl_120, type, esk78_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.19/0.54 thf(decl_121, type, esk79_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 0.19/0.54 thf(decl_122, type, esk80_2: (nat > nat) > nat > nat). 0.19/0.54 thf(decl_123, type, esk81_2: (nat > $o) > (nat > $o) > nat). 0.19/0.54 thf(decl_124, type, esk82_1: (nat > $o) > nat). 0.19/0.54 thf(decl_125, type, esk83_0: nat > nat). 0.19/0.54 thf(decl_126, type, esk84_0: nat > nat). 0.19/0.54 thf(decl_127, type, esk85_2: (nat > nat) > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_128, type, epred1_1: set_nat > set_nat > $o). 0.19/0.54 thf(decl_129, type, esk86_2: (nat > nat) > (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_130, type, esk87_3: set_nat > (nat > nat) > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_131, type, esk88_2: (nat > nat) > nat > nat > nat). 0.19/0.54 thf(decl_132, type, epred2_1: set_nat > nat > $o). 0.19/0.54 thf(decl_133, type, esk89_0: nat > nat). 0.19/0.54 thf(decl_134, type, esk90_1: (nat > nat) > nat > nat). 0.19/0.54 thf(decl_135, type, esk91_2: nat > (nat > nat) > nat > nat). 0.19/0.54 thf(decl_136, type, epred3_1: nat > nat > $o). 0.19/0.54 thf(decl_137, type, esk92_2: set_nat > (nat > nat > nat) > nat > nat). 0.19/0.54 thf(decl_138, type, esk93_1: (nat > nat > nat) > nat > nat > nat). 0.19/0.54 thf(fact_63_partitionsE, axiom, ![X62:nat > nat, X19:nat]:((~((![X201:nat]:((((ord_less_eq_nat @ X201 @ X19)&(ord_less_eq_nat @ one_one_nat @ X201))<=((X62 @ X201)!=(zero_zero_nat))))=>((groups1842438620at_nat @ (^[X9:nat]:(times_times_nat @ (X62 @ X9) @ X9)) @ (set_ord_atMost_nat @ X19))!=(X19))))<=(number1551313001itions @ X62 @ X19))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_63_partitionsE)). 0.19/0.54 thf(conj_0, conjecture, ((minus_minus_nat @ (groups1842438620at_nat @ (^[X9:nat]:(times_times_nat @ (p @ X9) @ X9)) @ (set_ord_atMost_nat @ n)) @ k)=(minus_minus_nat @ n @ k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.19/0.54 thf(fact_0_partitions, axiom, (number1551313001itions @ p @ n), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_partitions)). 0.19/0.54 thf(c_0_3, plain, ![X62:nat > nat, X19:nat]:(((number1551313001itions @ X62 @ X19)=>~((![X201:nat]:((((X62 @ X201)!=(zero_zero_nat))=>((ord_less_eq_nat @ X201 @ X19)&(ord_less_eq_nat @ one_one_nat @ X201))))=>((groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (X62 @ Z0) @ Z0)) @ (set_ord_atMost_nat @ X19))!=(X19)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_63_partitionsE])])). 0.19/0.54 thf(c_0_4, negated_conjecture, ((minus_minus_nat @ (groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (p @ Z0) @ Z0)) @ (set_ord_atMost_nat @ n)) @ k)!=(minus_minus_nat @ n @ k)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 0.19/0.54 thf(c_0_5, plain, ![X1625:nat, X28:nat > nat]:(((esk90_1 @ X28 @ X1625)=(times_times_nat @ (X28 @ X1625) @ X1625))), introduced(definition)). 0.19/0.54 thf(c_0_6, plain, ![X1337:nat > nat, X1338:nat, X1339:nat]:(((((ord_less_eq_nat @ X1339 @ X1338)|((X1337 @ X1339)=(zero_zero_nat))|~(number1551313001itions @ X1337 @ X1338))&((ord_less_eq_nat @ one_one_nat @ X1339)|((X1337 @ X1339)=(zero_zero_nat))|~(number1551313001itions @ X1337 @ X1338)))&(((groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (X1337 @ Z0) @ Z0)) @ (set_ord_atMost_nat @ X1338))=(X1338))|~(number1551313001itions @ X1337 @ X1338)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])). 0.19/0.54 thf(c_0_7, negated_conjecture, ((minus_minus_nat @ (groups1842438620at_nat @ (esk90_1 @ p) @ (set_ord_atMost_nat @ n)) @ k)!=(minus_minus_nat @ n @ k)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4]), c_0_5])). 0.19/0.54 thf(c_0_8, plain, ![X28:nat > nat, X4:nat]:((((groups1842438620at_nat @ (esk90_1 @ X28) @ (set_ord_atMost_nat @ X4))=(X4))|~((number1551313001itions @ X28 @ X4)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_6]), c_0_5])). 0.19/0.54 thf(c_0_9, plain, (number1551313001itions @ p @ n), inference(split_conjunct,[status(thm)],[fact_0_partitions])). 0.19/0.54 thf(c_0_10, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9])]), ['proof']). 0.19/0.54 # SZS output end CNFRefutation 0.19/0.54 # Parsed axioms : 269 0.19/0.54 # Removed by relevancy pruning/SinE : 0 0.19/0.54 # Initial clauses : 520 0.19/0.54 # Removed in clause preprocessing : 47 0.19/0.54 # Initial clauses in saturation : 473 0.19/0.54 # Processed clauses : 122 0.19/0.54 # ...of these trivial : 17 0.19/0.54 # ...subsumed : 16 0.19/0.54 # ...remaining for further processing : 89 0.19/0.54 # Other redundant clauses eliminated : 43 0.19/0.54 # Clauses deleted for lack of memory : 0 0.19/0.54 # Backward-subsumed : 2 0.19/0.54 # Backward-rewritten : 3 0.19/0.54 # Generated clauses : 112 0.19/0.54 # ...of the previous two non-redundant : 58 0.19/0.54 # ...aggressively subsumed : 0 0.19/0.54 # Contextual simplify-reflections : 0 0.19/0.54 # Paramodulations : 57 0.19/0.54 # Factorizations : 0 0.19/0.54 # NegExts : 0 0.19/0.54 # Equation resolutions : 44 0.19/0.54 # Propositional unsat checks : 0 0.19/0.54 # Propositional check models : 0 0.19/0.54 # Propositional check unsatisfiable : 0 0.19/0.54 # Propositional clauses : 0 0.19/0.54 # Propositional clauses after purity: 0 0.19/0.54 # Propositional unsat core size : 0 0.19/0.54 # Propositional preprocessing time : 0.000 0.19/0.54 # Propositional encoding time : 0.000 0.19/0.54 # Propositional solver time : 0.000 0.19/0.54 # Success case prop preproc time : 0.000 0.19/0.54 # Success case prop encoding time : 0.000 0.19/0.54 # Success case prop solver time : 0.000 0.19/0.54 # Current number of processed clauses : 48 0.19/0.54 # Positive orientable unit clauses : 23 0.19/0.54 # Positive unorientable unit clauses: 0 0.19/0.54 # Negative unit clauses : 5 0.19/0.54 # Non-unit-clauses : 20 0.19/0.54 # Current number of unprocessed clauses: 409 0.19/0.54 # ...number of literals in the above : 1310 0.19/0.54 # Current number of archived formulas : 0 0.19/0.54 # Current number of archived clauses : 5 0.19/0.54 # Clause-clause subsumption calls (NU) : 138 0.19/0.54 # Rec. Clause-clause subsumption calls : 130 0.19/0.54 # Non-unit clause-clause subsumptions : 15 0.19/0.54 # Unit Clause-clause subsumption calls : 16 0.19/0.54 # Rewrite failures with RHS unbound : 0 0.19/0.54 # BW rewrite match attempts : 11 0.19/0.54 # BW rewrite match successes : 3 0.19/0.54 # Condensation attempts : 122 0.19/0.54 # Condensation successes : 0 0.19/0.54 # Termbank termtop insertions : 32893 0.19/0.54 0.19/0.54 # ------------------------------------------------- 0.19/0.54 # User time : 0.038 s 0.19/0.54 # System time : 0.003 s 0.19/0.54 # Total time : 0.041 s 0.19/0.54 # Maximum resident set size: 4208 pages 0.19/0.54 0.19/0.54 # ------------------------------------------------- 0.19/0.54 # User time : 0.061 s 0.19/0.54 # System time : 0.008 s 0.19/0.54 # Total time : 0.069 s 0.19/0.54 # Maximum resident set size: 2240 pages 0.19/0.54 EOF