0.05/0.10 % Problem : SLH344^1 : TPTP v7.5.0. Released v7.5.0. 0.05/0.11 % Command : run_E %s %d THM 0.10/0.32 % Computer : n009.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 30 0.10/0.32 % WCLimit : 30 0.10/0.32 % DateTime : Tue Aug 9 02:46:35 EDT 2022 0.10/0.32 % CPUTime : 0.16/0.43 The problem SPC is TH0_THM_EQU_NAR 0.16/0.43 Running higher-order on 1 cores theorem proving 0.16/0.43 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 0.16/0.43 # Version: 3.0pre003-ho 0.16/0.52 # Preprocessing class: HSLSSMSSSSSNHFA. 0.16/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.16/0.52 # Starting new_ho_10 with 30s (1) cores 0.16/0.52 # new_ho_10 with pid 31411 completed with status 0 0.16/0.52 # Result found by new_ho_10 0.16/0.52 # Preprocessing class: HSLSSMSSSSSNHFA. 0.16/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.16/0.52 # Starting new_ho_10 with 30s (1) cores 0.16/0.52 # No SInE strategy applied 0.16/0.52 # Search class: HGHSM-FSLM32-SHFFFSBC 0.16/0.52 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.16/0.52 # Starting new_ho_10 with 19s (1) cores 0.16/0.52 # new_ho_10 with pid 31412 completed with status 0 0.16/0.52 # Result found by new_ho_10 0.16/0.52 # Preprocessing class: HSLSSMSSSSSNHFA. 0.16/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.16/0.52 # Starting new_ho_10 with 30s (1) cores 0.16/0.52 # No SInE strategy applied 0.16/0.52 # Search class: HGHSM-FSLM32-SHFFFSBC 0.16/0.52 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.16/0.52 # Starting new_ho_10 with 19s (1) cores 0.16/0.52 # Preprocessing time : 0.003 s 0.16/0.52 # Presaturation interreduction done 0.16/0.52 0.16/0.52 # Proof found! 0.16/0.52 # SZS status Theorem 0.16/0.52 # SZS output start CNFRefutation 0.16/0.52 thf(decl_22, type, one_one_nat: nat). 0.16/0.52 thf(decl_23, type, times_times_nat: nat > nat > nat). 0.16/0.52 thf(decl_24, type, zero_zero_nat: nat). 0.16/0.52 thf(decl_25, type, number1551313001itions: (nat > nat) > nat > $o). 0.16/0.52 thf(decl_26, type, ord_less_nat: nat > nat > $o). 0.16/0.52 thf(decl_27, type, ord_less_eq_nat: nat > nat > $o). 0.16/0.52 thf(decl_28, type, i: nat). 0.16/0.52 thf(decl_29, type, n: nat). 0.16/0.52 thf(decl_30, type, p: nat > nat). 0.16/0.52 thf(decl_31, type, esk1_2: (nat > $o) > nat > nat). 0.16/0.52 thf(decl_32, type, esk2_1: (nat > $o) > nat). 0.16/0.52 thf(decl_33, type, esk3_2: (nat > $o) > nat > nat). 0.16/0.52 thf(decl_34, type, esk4_1: (nat > $o) > nat). 0.16/0.52 thf(decl_35, type, esk5_1: (nat > nat) > nat). 0.16/0.52 thf(decl_36, type, esk6_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_37, type, esk7_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_38, type, esk8_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_39, type, esk9_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_40, type, esk10_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_41, type, esk11_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_42, type, esk12_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_43, type, esk13_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_44, type, esk14_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_45, type, esk15_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_46, type, esk16_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_47, type, esk17_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_48, type, esk18_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_49, type, esk19_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_50, type, esk20_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_51, type, esk21_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_52, type, esk22_1: (nat > nat > $o) > nat). 0.16/0.52 thf(decl_53, type, esk23_1: (nat > $o) > nat). 0.16/0.52 thf(decl_54, type, esk24_2: (nat > $o) > nat > nat). 0.16/0.52 thf(decl_55, type, esk25_1: (nat > $o) > nat). 0.16/0.52 thf(decl_56, type, esk26_1: (nat > $o) > nat). 0.16/0.52 thf(decl_57, type, esk27_1: nat > nat). 0.16/0.52 thf(decl_58, type, esk28_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_59, type, esk29_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_60, type, esk30_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_61, type, esk31_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_62, type, esk32_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_63, type, esk33_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_64, type, esk34_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_65, type, esk35_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_66, type, esk36_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_67, type, esk37_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_68, type, esk38_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_69, type, esk39_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_70, type, esk40_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_71, type, esk41_4: nat > nat > (nat > nat) > nat > nat). 0.16/0.52 thf(decl_72, type, esk42_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_73, type, esk43_4: nat > (nat > nat) > nat > nat > nat). 0.16/0.52 thf(decl_74, type, esk44_1: (nat > $o) > nat). 0.16/0.52 thf(decl_75, type, esk45_1: (nat > nat) > nat). 0.16/0.52 thf(decl_76, type, esk46_1: (nat > nat) > nat). 0.16/0.52 thf(decl_77, type, esk47_2: (nat > $o) > nat > nat). 0.16/0.52 thf(fact_66_mult_Ocommute, axiom, ((times_times_nat)=(^[X23:nat, X24:nat]:(times_times_nat @ X24 @ X23))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_66_mult_Ocommute)). 0.16/0.52 thf(fact_116_dual__order_Oirrefl, axiom, ![X16:nat]:(~((ord_less_nat @ X16 @ X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_116_dual__order_Oirrefl)). 0.16/0.52 thf(fact_147_dual__order_Ostrict__trans1, axiom, ![X9:nat, X16:nat, X17:nat]:(((ord_less_eq_nat @ X9 @ X16)=>((ord_less_nat @ X17 @ X9)=>(ord_less_nat @ X17 @ X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_147_dual__order_Ostrict__trans1)). 0.16/0.52 thf(fact_101_mult__less__cancel2, axiom, ![X7:nat, X6:nat, X3:nat]:(((ord_less_nat @ (times_times_nat @ X7 @ X6) @ (times_times_nat @ X3 @ X6))<=>((ord_less_nat @ zero_zero_nat @ X6)&(ord_less_nat @ X7 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_101_mult__less__cancel2)). 0.16/0.52 thf(fact_21_nat__mult__1, axiom, ![X3:nat]:(((times_times_nat @ one_one_nat @ X3)=(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_21_nat__mult__1)). 0.16/0.52 thf(fact_146_dual__order_Ostrict__trans2, axiom, ![X9:nat, X16:nat, X17:nat]:(((ord_less_nat @ X9 @ X16)=>((ord_less_eq_nat @ X17 @ X9)=>(ord_less_nat @ X17 @ X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_146_dual__order_Ostrict__trans2)). 0.16/0.52 thf(fact_1__092_060open_062p_Ai_A_K_Ai_A_092_060le_062_An_092_060close_062, axiom, (ord_less_eq_nat @ (times_times_nat @ (p @ i) @ i) @ n), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1__092_060open_062p_Ai_A_K_Ai_A_092_060le_062_An_092_060close_062)). 0.16/0.52 thf(fact_0_True, axiom, ((ord_less_eq_nat @ one_one_nat @ i)&(ord_less_eq_nat @ i @ n)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_True)). 0.16/0.52 thf(fact_152_not__le__imp__less, axiom, ![X28:nat, X2:nat]:((~((ord_less_eq_nat @ X28 @ X2))=>(ord_less_nat @ X2 @ X28))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_152_not__le__imp__less)). 0.16/0.52 thf(conj_0, conjecture, (ord_less_eq_nat @ (p @ i) @ n), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.16/0.52 thf(c_0_10, plain, ![X502:nat, X503:nat]:(((times_times_nat @ X502 @ X503)=(times_times_nat @ X503 @ X502))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_66_mult_Ocommute])])). 0.16/0.52 thf(c_0_11, plain, ![X674:nat, X675:nat]:(((times_times_nat @ X674 @ X675)=(times_times_nat @ X675 @ X674))), inference(variable_rename,[status(thm)],[c_0_10])). 0.16/0.52 thf(c_0_12, plain, ![X16:nat]:(~(ord_less_nat @ X16 @ X16)), inference(fof_simplification,[status(thm)],[fact_116_dual__order_Oirrefl])). 0.16/0.52 thf(c_0_13, plain, ![X864:nat, X865:nat, X866:nat]:((~(ord_less_eq_nat @ X864 @ X865)|(~(ord_less_nat @ X866 @ X864)|(ord_less_nat @ X866 @ X865)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_147_dual__order_Ostrict__trans1])])). 0.16/0.52 thf(c_0_14, plain, ![X739:nat, X740:nat, X741:nat]:(((((ord_less_nat @ zero_zero_nat @ X740)|~(ord_less_nat @ (times_times_nat @ X739 @ X740) @ (times_times_nat @ X741 @ X740)))&((ord_less_nat @ X739 @ X741)|~(ord_less_nat @ (times_times_nat @ X739 @ X740) @ (times_times_nat @ X741 @ X740))))&(~(ord_less_nat @ zero_zero_nat @ X740)|~(ord_less_nat @ X739 @ X741)|(ord_less_nat @ (times_times_nat @ X739 @ X740) @ (times_times_nat @ X741 @ X740))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_101_mult__less__cancel2])])])). 0.16/0.52 thf(c_0_15, plain, ![X565:nat]:(((times_times_nat @ one_one_nat @ X565)=(X565))), inference(variable_rename,[status(thm)],[fact_21_nat__mult__1])). 0.16/0.52 thf(c_0_16, plain, ![X861:nat, X862:nat, X863:nat]:((~(ord_less_nat @ X861 @ X862)|(~(ord_less_eq_nat @ X863 @ X861)|(ord_less_nat @ X863 @ X862)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_146_dual__order_Ostrict__trans2])])). 0.16/0.52 thf(c_0_17, plain, (ord_less_eq_nat @ (times_times_nat @ (p @ i) @ i) @ n), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062p_Ai_A_K_Ai_A_092_060le_062_An_092_060close_062])). 0.16/0.52 thf(c_0_18, plain, ![X2:nat, X1:nat]:(((times_times_nat @ X1 @ X2)=(times_times_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.52 thf(c_0_19, plain, ![X781:nat]:(~(ord_less_nat @ X781 @ X781)), inference(variable_rename,[status(thm)],[c_0_12])). 0.16/0.52 thf(c_0_20, plain, ![X3:nat, X2:nat, X1:nat]:(((ord_less_nat @ X3 @ X2)|~((ord_less_eq_nat @ X1 @ X2))|~((ord_less_nat @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.16/0.52 thf(c_0_21, plain, (ord_less_eq_nat @ one_one_nat @ i), inference(split_conjunct,[status(thm)],[fact_0_True])). 0.16/0.52 thf(c_0_22, plain, ![X1:nat, X2:nat, X3:nat]:(((ord_less_nat @ X1 @ X2)|~((ord_less_nat @ (times_times_nat @ X1 @ X3) @ (times_times_nat @ X2 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.16/0.52 thf(c_0_23, plain, ![X1:nat]:(((times_times_nat @ one_one_nat @ X1)=(X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.16/0.52 thf(c_0_24, plain, ![X3:nat, X2:nat, X1:nat]:(((ord_less_nat @ X3 @ X2)|~((ord_less_nat @ X1 @ X2))|~((ord_less_eq_nat @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.16/0.52 thf(c_0_25, plain, (ord_less_eq_nat @ (times_times_nat @ i @ (p @ i)) @ n), inference(rw,[status(thm)],[c_0_17, c_0_18])). 0.16/0.52 thf(c_0_26, plain, ![X1:nat]:(~((ord_less_nat @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.52 thf(c_0_27, plain, ![X1:nat]:(((ord_less_nat @ X1 @ i)|~((ord_less_nat @ X1 @ one_one_nat)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.16/0.52 thf(c_0_28, plain, ![X28:nat, X2:nat]:((~(ord_less_eq_nat @ X28 @ X2)=>(ord_less_nat @ X2 @ X28))), inference(fof_simplification,[status(thm)],[fact_152_not__le__imp__less])). 0.16/0.52 thf(c_0_29, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ one_one_nat)|~((ord_less_nat @ (times_times_nat @ X1 @ X2) @ X2)))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.16/0.52 thf(c_0_30, plain, ![X1:nat]:(((ord_less_nat @ (times_times_nat @ i @ (p @ i)) @ X1)|~((ord_less_nat @ n @ X1)))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.16/0.52 thf(c_0_31, plain, ~((ord_less_nat @ i @ one_one_nat)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.16/0.52 thf(c_0_32, plain, ![X877:nat, X878:nat]:(((ord_less_eq_nat @ X877 @ X878)|(ord_less_nat @ X878 @ X877))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])). 0.16/0.52 thf(c_0_33, negated_conjecture, ~(ord_less_eq_nat @ (p @ i) @ n), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.16/0.52 thf(c_0_34, plain, ~((ord_less_nat @ n @ (p @ i))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])). 0.16/0.52 thf(c_0_35, plain, ![X2:nat, X1:nat]:(((ord_less_eq_nat @ X1 @ X2)|(ord_less_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.16/0.52 thf(c_0_36, negated_conjecture, ~((ord_less_eq_nat @ (p @ i) @ n)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.16/0.52 thf(c_0_37, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36]), ['proof']). 0.16/0.52 # SZS output end CNFRefutation 0.16/0.52 # Parsed axioms : 219 0.16/0.52 # Removed by relevancy pruning/SinE : 0 0.16/0.52 # Initial clauses : 399 0.16/0.52 # Removed in clause preprocessing : 28 0.16/0.52 # Initial clauses in saturation : 371 0.16/0.52 # Processed clauses : 805 0.16/0.52 # ...of these trivial : 24 0.16/0.52 # ...subsumed : 354 0.16/0.52 # ...remaining for further processing : 427 0.16/0.52 # Other redundant clauses eliminated : 65 0.16/0.52 # Clauses deleted for lack of memory : 0 0.16/0.52 # Backward-subsumed : 9 0.16/0.52 # Backward-rewritten : 8 0.16/0.52 # Generated clauses : 3359 0.16/0.52 # ...of the previous two non-redundant : 2823 0.16/0.52 # ...aggressively subsumed : 0 0.16/0.52 # Contextual simplify-reflections : 2 0.16/0.52 # Paramodulations : 3287 0.16/0.52 # Factorizations : 6 0.16/0.52 # NegExts : 0 0.16/0.52 # Equation resolutions : 68 0.16/0.52 # Propositional unsat checks : 0 0.16/0.52 # Propositional check models : 0 0.16/0.52 # Propositional check unsatisfiable : 0 0.16/0.52 # Propositional clauses : 0 0.16/0.52 # Propositional clauses after purity: 0 0.16/0.52 # Propositional unsat core size : 0 0.16/0.52 # Propositional preprocessing time : 0.000 0.16/0.52 # Propositional encoding time : 0.000 0.16/0.52 # Propositional solver time : 0.000 0.16/0.52 # Success case prop preproc time : 0.000 0.16/0.52 # Success case prop encoding time : 0.000 0.16/0.52 # Success case prop solver time : 0.000 0.16/0.52 # Current number of processed clauses : 228 0.16/0.52 # Positive orientable unit clauses : 32 0.16/0.52 # Positive unorientable unit clauses: 2 0.16/0.52 # Negative unit clauses : 20 0.16/0.52 # Non-unit-clauses : 174 0.16/0.52 # Current number of unprocessed clauses: 2508 0.16/0.52 # ...number of literals in the above : 7569 0.16/0.52 # Current number of archived formulas : 0 0.16/0.52 # Current number of archived clauses : 140 0.16/0.52 # Clause-clause subsumption calls (NU) : 4454 0.16/0.52 # Rec. Clause-clause subsumption calls : 3274 0.16/0.52 # Non-unit clause-clause subsumptions : 257 0.16/0.52 # Unit Clause-clause subsumption calls : 474 0.16/0.52 # Rewrite failures with RHS unbound : 0 0.16/0.52 # BW rewrite match attempts : 73 0.16/0.52 # BW rewrite match successes : 56 0.16/0.52 # Condensation attempts : 805 0.16/0.52 # Condensation successes : 16 0.16/0.52 # Termbank termtop insertions : 74366 0.16/0.52 0.16/0.52 # ------------------------------------------------- 0.16/0.52 # User time : 0.075 s 0.16/0.52 # System time : 0.008 s 0.16/0.52 # Total time : 0.083 s 0.16/0.52 # Maximum resident set size: 3200 pages 0.16/0.52 0.16/0.52 # ------------------------------------------------- 0.16/0.52 # User time : 0.077 s 0.16/0.52 # System time : 0.011 s 0.16/0.52 # Total time : 0.088 s 0.16/0.52 # Maximum resident set size: 1852 pages 0.16/0.52 EOF