0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_E %s %d THM 0.12/0.33 % Computer : n003.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 04:21:21 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.48 Running higher-order on 8 cores theorem proving 0.19/0.48 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=8 --cpu-limit=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.48 # Version: 3.0pre003-ho 0.81/0.58 # Preprocessing class: HSLSSMSSSSSNSFA. 0.81/0.58 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.81/0.58 # Starting new_ho_11 with 600s (5) cores 0.81/0.58 # Starting post_as_ho6 with 120s (1) cores 0.81/0.58 # Starting sh9 with 120s (1) cores 0.81/0.58 # Starting sh5l with 120s (1) cores 0.81/0.58 # new_ho_11 with pid 17803 completed with status 0 0.81/0.58 # Result found by new_ho_11 0.81/0.58 # Preprocessing class: HSLSSMSSSSSNSFA. 0.81/0.58 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.81/0.58 # Starting new_ho_11 with 600s (5) cores 0.81/0.58 # No SInE strategy applied 0.81/0.58 # Search class: HGHSM-FSLF31-MSFFFSBN 0.81/0.58 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.81/0.58 # Starting new_ho_10 with 325s (1) cores 0.81/0.58 # Starting new_ho_11 with 61s (1) cores 0.81/0.58 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.81/0.58 # Starting sh3l with 55s (1) cores 0.81/0.58 # Starting ehoh_best3_rw with 55s (1) cores 0.81/0.58 # sh3l with pid 17813 completed with status 0 0.81/0.58 # Result found by sh3l 0.81/0.58 # Preprocessing class: HSLSSMSSSSSNSFA. 0.81/0.58 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.81/0.58 # Starting new_ho_11 with 600s (5) cores 0.81/0.58 # No SInE strategy applied 0.81/0.58 # Search class: HGHSM-FSLF31-MSFFFSBN 0.81/0.58 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.81/0.58 # Starting new_ho_10 with 325s (1) cores 0.81/0.58 # Starting new_ho_11 with 61s (1) cores 0.81/0.58 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.81/0.58 # Starting sh3l with 55s (1) cores 0.81/0.58 # Preprocessing time : 0.005 s 0.81/0.58 # Presaturation interreduction done 0.81/0.58 0.81/0.58 # Proof found! 0.81/0.58 # SZS status Theorem 0.81/0.58 # SZS output start CNFRefutation 0.81/0.58 thf(decl_22, type, times_times_nat: nat > nat > nat). 0.81/0.58 thf(decl_23, type, zero_zero_nat: nat). 0.81/0.58 thf(decl_24, type, produc1055075589od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a). 0.81/0.58 thf(decl_25, type, produc778776796_a_a_a: list_P1467822637od_a_a > list_a > list_P319927492_a_a_a). 0.81/0.58 thf(decl_26, type, produc16441326od_a_a: list_a > list_P1467822637od_a_a > list_P1458844246od_a_a). 0.81/0.58 thf(decl_27, type, product_a_a: list_a > list_a > list_P1467822637od_a_a). 0.81/0.58 thf(decl_28, type, suc: nat > nat). 0.81/0.58 thf(decl_29, type, size_s1052379225od_a_a: list_P1891567085od_a_a > nat). 0.81/0.58 thf(decl_30, type, size_s736232240_a_a_a: list_P319927492_a_a_a > nat). 0.81/0.58 thf(decl_31, type, size_s1875148994od_a_a: list_P1458844246od_a_a > nat). 0.81/0.58 thf(decl_32, type, size_s642698393od_a_a: list_P1467822637od_a_a > nat). 0.81/0.58 thf(decl_33, type, size_size_list_a: list_a > nat). 0.81/0.58 thf(decl_34, type, ord_less_nat: nat > nat > $o). 0.81/0.58 thf(decl_35, type, ord_less_eq_nat: nat > nat > $o). 0.81/0.58 thf(decl_36, type, divide_divide_nat: nat > nat > nat). 0.81/0.58 thf(decl_37, type, k: nat). 0.81/0.58 thf(decl_38, type, n: nat). 0.81/0.58 thf(decl_39, type, xs: list_a). 0.81/0.58 thf(decl_40, type, esk1_1: (nat > $o) > nat). 0.81/0.58 thf(decl_41, type, esk2_1: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 0.81/0.58 thf(decl_42, type, esk3_3: nat > nat > (nat > $o) > nat). 0.81/0.58 thf(decl_43, type, esk4_3: nat > nat > (nat > $o) > nat). 0.81/0.58 thf(decl_44, type, esk5_2: nat > nat > nat). 0.81/0.58 thf(decl_45, type, esk6_1: (nat > $o) > nat). 0.81/0.58 thf(decl_46, type, esk7_3: nat > nat > (nat > nat > $o) > nat). 0.81/0.58 thf(decl_47, type, esk8_3: nat > nat > (nat > nat > $o) > nat). 0.81/0.58 thf(decl_48, type, esk9_3: nat > nat > (nat > nat > $o) > nat). 0.81/0.58 thf(decl_49, type, esk10_3: nat > nat > (nat > nat > $o) > nat). 0.81/0.58 thf(decl_50, type, esk11_1: nat > nat). 0.81/0.58 thf(decl_51, type, esk12_3: (nat > $o) > nat > nat > nat). 0.81/0.58 thf(decl_52, type, esk13_1: nat > nat). 0.81/0.58 thf(decl_53, type, esk14_1: nat > nat). 0.81/0.58 thf(decl_54, type, esk15_1: (list_a > $o) > list_a). 0.81/0.58 thf(decl_55, type, esk16_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_56, type, esk17_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_57, type, esk18_1: (nat > $o) > nat). 0.81/0.58 thf(decl_58, type, esk19_1: (nat > $o) > nat). 0.81/0.58 thf(decl_59, type, esk20_1: (nat > nat) > nat). 0.81/0.58 thf(decl_60, type, esk21_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_61, type, esk22_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_62, type, esk23_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_63, type, esk24_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_64, type, esk25_1: (nat > $o) > nat). 0.81/0.58 thf(decl_65, type, esk26_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_66, type, esk27_2: nat > (nat > $o) > nat). 0.81/0.58 thf(decl_67, type, esk28_2: nat > nat > nat). 0.81/0.58 thf(decl_68, type, esk29_2: nat > nat > nat). 0.81/0.58 thf(decl_69, type, esk30_2: nat > nat > nat). 0.81/0.58 thf(decl_70, type, esk31_1: nat > nat). 0.81/0.58 thf(decl_71, type, esk32_2: nat > nat > nat). 0.81/0.58 thf(decl_72, type, esk33_1: (nat > $o) > nat). 0.81/0.58 thf(decl_73, type, esk34_1: nat > list_P1467822637od_a_a). 0.81/0.58 thf(decl_74, type, esk35_1: (nat > nat > $o) > nat). 0.81/0.58 thf(decl_75, type, esk36_1: (nat > nat > $o) > nat). 0.81/0.58 thf(decl_76, type, esk37_1: (nat > nat > $o) > nat). 0.81/0.58 thf(decl_77, type, esk38_1: (nat > nat > $o) > nat). 0.81/0.58 thf(decl_78, type, esk39_2: nat > nat > nat). 0.81/0.58 thf(decl_79, type, esk40_1: nat > nat). 0.81/0.58 thf(decl_80, type, esk41_2: nat > nat > nat). 0.81/0.58 thf(decl_81, type, esk42_1: nat > list_a). 0.81/0.58 thf(decl_82, type, esk43_2: nat > nat > nat). 0.81/0.58 thf(decl_83, type, esk44_1: (nat > $o) > nat). 0.81/0.58 thf(decl_84, type, esk45_1: (nat > nat) > nat). 0.81/0.58 thf(fact_124_Util__Div_Oless__mult__imp__div__less, axiom, ![X4:nat, X7:nat, X3:nat]:(((ord_less_nat @ (divide_divide_nat @ X4 @ X3) @ X7)<=(ord_less_nat @ X4 @ (times_times_nat @ X7 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_124_Util__Div_Oless__mult__imp__div__less)). 0.81/0.58 thf(fact_133_mult_Ocommute, axiom, ((times_times_nat)=(^[X12:nat, X13:nat]:(times_times_nat @ X13 @ X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_133_mult_Ocommute)). 0.81/0.58 thf(conj_2, conjecture, (ord_less_nat @ (times_times_nat @ n @ k) @ (size_size_list_a @ xs)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)). 0.81/0.58 thf(fact_32_less__irrefl__nat, axiom, ![X4:nat]:(~((ord_less_nat @ X4 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_32_less__irrefl__nat)). 0.81/0.58 thf(fact_70_less__SucI, axiom, ![X3:nat, X4:nat]:(((ord_less_nat @ X3 @ (suc @ X4))<=(ord_less_nat @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_70_less__SucI)). 0.81/0.58 thf(conj_0, hypothesis, ((divide_divide_nat @ (size_size_list_a @ xs) @ k)=(suc @ n)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.81/0.58 thf(fact_36_nat__neq__iff, axiom, ![X3:nat, X4:nat]:((((X3)!=(X4))<=>((ord_less_nat @ X4 @ X3)|(ord_less_nat @ X3 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_36_nat__neq__iff)). 0.81/0.58 thf(fact_99_nonzero__mult__div__cancel__left, axiom, ![X8:nat, X9:nat]:((((X8)!=(zero_zero_nat))=>((divide_divide_nat @ (times_times_nat @ X8 @ X9) @ X8)=(X9)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_99_nonzero__mult__div__cancel__left)). 0.81/0.58 thf(fact_27_n__not__Suc__n, axiom, ![X4:nat]:(((X4)!=(suc @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_27_n__not__Suc__n)). 0.81/0.58 thf(conj_1, hypothesis, ((k)!=(zero_zero_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 0.81/0.58 thf(c_0_10, plain, ![X4:nat, X7:nat, X3:nat]:(((ord_less_nat @ X4 @ (times_times_nat @ X7 @ X3))=>(ord_less_nat @ (divide_divide_nat @ X4 @ X3) @ X7))), inference(fof_simplification,[status(thm)],[fact_124_Util__Div_Oless__mult__imp__div__less])). 0.81/0.58 thf(c_0_11, plain, ![X461:nat, X462:nat]:(((times_times_nat @ X461 @ X462)=(times_times_nat @ X462 @ X461))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_133_mult_Ocommute])])). 0.81/0.58 thf(c_0_12, plain, ![X491:nat, X492:nat, X493:nat]:((~(ord_less_nat @ X491 @ (times_times_nat @ X492 @ X493))|(ord_less_nat @ (divide_divide_nat @ X491 @ X493) @ X492))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])). 0.81/0.58 thf(c_0_13, negated_conjecture, ~(ord_less_nat @ (times_times_nat @ n @ k) @ (size_size_list_a @ xs)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 0.81/0.58 thf(c_0_14, plain, ![X489:nat, X490:nat]:(((times_times_nat @ X489 @ X490)=(times_times_nat @ X490 @ X489))), inference(variable_rename,[status(thm)],[c_0_11])). 0.81/0.58 thf(c_0_15, plain, ![X4:nat]:(~(ord_less_nat @ X4 @ X4)), inference(fof_simplification,[status(thm)],[fact_32_less__irrefl__nat])). 0.81/0.58 thf(c_0_16, plain, ![X3:nat, X4:nat]:(((ord_less_nat @ X3 @ X4)=>(ord_less_nat @ X3 @ (suc @ X4)))), inference(fof_simplification,[status(thm)],[fact_70_less__SucI])). 0.81/0.58 thf(c_0_17, plain, ![X1:nat, X2:nat, X3:nat]:(((ord_less_nat @ (divide_divide_nat @ X1 @ X3) @ X2)|~((ord_less_nat @ X1 @ (times_times_nat @ X2 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.81/0.58 thf(c_0_18, hypothesis, ((divide_divide_nat @ (size_size_list_a @ xs) @ k)=(suc @ n)), inference(split_conjunct,[status(thm)],[conj_0])). 0.81/0.58 thf(c_0_19, negated_conjecture, ~((ord_less_nat @ (times_times_nat @ n @ k) @ (size_size_list_a @ xs))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.81/0.58 thf(c_0_20, plain, ![X2:nat, X1:nat]:(((times_times_nat @ X1 @ X2)=(times_times_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.81/0.58 thf(c_0_21, plain, ![X677:nat, X678:nat]:(((((X677)=(X678))|((ord_less_nat @ X678 @ X677)|(ord_less_nat @ X677 @ X678)))&((~(ord_less_nat @ X678 @ X677)|((X677)!=(X678)))&(~(ord_less_nat @ X677 @ X678)|((X677)!=(X678)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_36_nat__neq__iff])])])). 0.81/0.58 thf(c_0_22, plain, ![X884:nat]:(~(ord_less_nat @ X884 @ X884)), inference(variable_rename,[status(thm)],[c_0_15])). 0.81/0.58 thf(c_0_23, plain, ![X679:nat, X680:nat]:((~(ord_less_nat @ X679 @ X680)|(ord_less_nat @ X679 @ (suc @ X680)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])). 0.81/0.58 thf(c_0_24, hypothesis, ![X1:nat]:(((ord_less_nat @ (suc @ n) @ X1)|~((ord_less_nat @ (size_size_list_a @ xs) @ (times_times_nat @ X1 @ k))))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.81/0.58 thf(c_0_25, negated_conjecture, ~((ord_less_nat @ (times_times_nat @ k @ n) @ (size_size_list_a @ xs))), inference(rw,[status(thm)],[c_0_19, c_0_20])). 0.81/0.58 thf(c_0_26, plain, ![X1:nat, X2:nat]:((((X1)=(X2))|(ord_less_nat @ X2 @ X1)|(ord_less_nat @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.81/0.58 thf(c_0_27, plain, ![X1:nat]:(~((ord_less_nat @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.81/0.58 thf(c_0_28, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ (suc @ X2))|~((ord_less_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.81/0.58 thf(c_0_29, plain, ![X789:nat, X790:nat]:((((X789)=(zero_zero_nat))|((divide_divide_nat @ (times_times_nat @ X789 @ X790) @ X789)=(X790)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_99_nonzero__mult__div__cancel__left])])). 0.81/0.58 thf(c_0_30, hypothesis, ![X1:nat]:(((ord_less_nat @ (suc @ n) @ X1)|~((ord_less_nat @ (size_size_list_a @ xs) @ (times_times_nat @ k @ X1))))), inference(spm,[status(thm)],[c_0_24, c_0_20])). 0.81/0.58 thf(c_0_31, negated_conjecture, (((times_times_nat @ k @ n)=(size_size_list_a @ xs))|(ord_less_nat @ (size_size_list_a @ xs) @ (times_times_nat @ k @ n))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.81/0.58 thf(c_0_32, plain, ![X1:nat]:(~((ord_less_nat @ (suc @ X1) @ X1))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.81/0.58 thf(c_0_33, plain, ![X759:nat]:(((X759)!=(suc @ X759))), inference(variable_rename,[status(thm)],[fact_27_n__not__Suc__n])). 0.81/0.58 thf(c_0_34, plain, ![X1:nat, X2:nat]:((((X1)=(zero_zero_nat))|((divide_divide_nat @ (times_times_nat @ X1 @ X2) @ X1)=(X2)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.81/0.58 thf(c_0_35, negated_conjecture, ((times_times_nat @ k @ n)=(size_size_list_a @ xs)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])). 0.81/0.58 thf(c_0_36, plain, ![X1:nat]:(((X1)!=(suc @ X1))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.81/0.58 thf(c_0_37, hypothesis, ((k)!=(zero_zero_nat)), inference(split_conjunct,[status(thm)],[conj_1])). 0.81/0.58 thf(c_0_38, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_18]), c_0_36]), c_0_37]), ['proof']). 0.81/0.58 # SZS output end CNFRefutation 0.81/0.58 # Parsed axioms : 210 0.81/0.58 # Removed by relevancy pruning/SinE : 0 0.81/0.58 # Initial clauses : 349 0.81/0.58 # Removed in clause preprocessing : 42 0.81/0.58 # Initial clauses in saturation : 307 0.81/0.58 # Processed clauses : 586 0.81/0.58 # ...of these trivial : 13 0.81/0.58 # ...subsumed : 147 0.81/0.58 # ...remaining for further processing : 426 0.81/0.58 # Other redundant clauses eliminated : 89 0.81/0.58 # Clauses deleted for lack of memory : 0 0.81/0.58 # Backward-subsumed : 1 0.81/0.58 # Backward-rewritten : 10 0.81/0.58 # Generated clauses : 2056 0.81/0.58 # ...of the previous two non-redundant : 1764 0.81/0.58 # ...aggressively subsumed : 0 0.81/0.58 # Contextual simplify-reflections : 1 0.81/0.58 # Paramodulations : 1916 0.81/0.58 # Factorizations : 2 0.81/0.58 # NegExts : 0 0.81/0.58 # Equation resolutions : 95 0.81/0.58 # Propositional unsat checks : 0 0.81/0.58 # Propositional check models : 0 0.81/0.58 # Propositional check unsatisfiable : 0 0.81/0.58 # Propositional clauses : 0 0.81/0.58 # Propositional clauses after purity: 0 0.81/0.58 # Propositional unsat core size : 0 0.81/0.58 # Propositional preprocessing time : 0.000 0.81/0.58 # Propositional encoding time : 0.000 0.81/0.58 # Propositional solver time : 0.000 0.81/0.58 # Success case prop preproc time : 0.000 0.81/0.58 # Success case prop encoding time : 0.000 0.81/0.58 # Success case prop solver time : 0.000 0.81/0.58 # Current number of processed clauses : 177 0.81/0.58 # Positive orientable unit clauses : 29 0.81/0.58 # Positive unorientable unit clauses: 2 0.81/0.58 # Negative unit clauses : 11 0.81/0.58 # Non-unit-clauses : 135 0.81/0.58 # Current number of unprocessed clauses: 1623 0.81/0.58 # ...number of literals in the above : 4549 0.81/0.58 # Current number of archived formulas : 0 0.81/0.58 # Current number of archived clauses : 197 0.81/0.58 # Clause-clause subsumption calls (NU) : 5757 0.81/0.58 # Rec. Clause-clause subsumption calls : 4603 0.81/0.58 # Non-unit clause-clause subsumptions : 65 0.81/0.58 # Unit Clause-clause subsumption calls : 56 0.81/0.58 # Rewrite failures with RHS unbound : 0 0.81/0.58 # BW rewrite match attempts : 29 0.81/0.58 # BW rewrite match successes : 25 0.81/0.58 # Condensation attempts : 0 0.81/0.58 # Condensation successes : 0 0.81/0.58 # Termbank termtop insertions : 82879 0.81/0.58 0.81/0.58 # ------------------------------------------------- 0.81/0.58 # User time : 0.084 s 0.81/0.58 # System time : 0.008 s 0.81/0.58 # Total time : 0.092 s 0.81/0.58 # Maximum resident set size: 3180 pages 0.81/0.58 0.81/0.58 # ------------------------------------------------- 0.81/0.58 # User time : 0.347 s 0.81/0.58 # System time : 0.025 s 0.81/0.58 # Total time : 0.372 s 0.81/0.58 # Maximum resident set size: 1972 pages 0.81/0.58 EOF