0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n011.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 : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 04:43:04 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.51 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=240 /export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p 0.79/0.62 # Version: 3.0.0-ho 0.79/0.62 # Preprocessing class: HSLSSMSSSSSNHFA. 0.79/0.62 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.79/0.62 # Starting new_ho_10 with 1200s (5) cores 0.79/0.62 # Starting new_ho_10_unif with 240s (1) cores 0.79/0.62 # Starting sh10 with 240s (1) cores 0.79/0.62 # Starting lpo5_rw_fix with 240s (1) cores 0.79/0.62 # lpo5_rw_fix with pid 5841 completed with status 0 0.79/0.62 # Result found by lpo5_rw_fix 0.79/0.62 # Preprocessing class: HSLSSMSSSSSNHFA. 0.79/0.62 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.79/0.62 # Starting new_ho_10 with 1200s (5) cores 0.79/0.62 # Starting new_ho_10_unif with 240s (1) cores 0.79/0.62 # Starting sh10 with 240s (1) cores 0.79/0.62 # Starting lpo5_rw_fix with 240s (1) cores 0.79/0.62 # SinE strategy is gf120_gu_RUU_F100_L01000 0.79/0.62 # Search class: HGHSM-FSLS32-MHFFFSBC 0.79/0.62 # partial match(1): HGHSM-FSLM32-MHFFFSBC 0.79/0.62 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.79/0.62 # Starting additional_ho_6 with 130s (1) cores 0.79/0.62 # additional_ho_6 with pid 5842 completed with status 0 0.79/0.62 # Result found by additional_ho_6 0.79/0.62 # Preprocessing class: HSLSSMSSSSSNHFA. 0.79/0.62 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.79/0.62 # Starting new_ho_10 with 1200s (5) cores 0.79/0.62 # Starting new_ho_10_unif with 240s (1) cores 0.79/0.62 # Starting sh10 with 240s (1) cores 0.79/0.62 # Starting lpo5_rw_fix with 240s (1) cores 0.79/0.62 # SinE strategy is gf120_gu_RUU_F100_L01000 0.79/0.62 # Search class: HGHSM-FSLS32-MHFFFSBC 0.79/0.62 # partial match(1): HGHSM-FSLM32-MHFFFSBC 0.79/0.62 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.79/0.62 # Starting additional_ho_6 with 130s (1) cores 0.79/0.62 # Preprocessing time : 0.009 s 0.79/0.62 # Presaturation interreduction done 0.79/0.62 0.79/0.62 # Proof found! 0.79/0.62 # SZS status Theorem 0.79/0.62 # SZS output start CNFRefutation 0.79/0.62 thf(decl_sort1, type, nat: $tType). 0.79/0.62 thf(decl_sort2, type, polyno727731844poly_a: $tType). 0.79/0.62 thf(decl_26, type, zero_zero_nat: nat). 0.79/0.62 thf(decl_27, type, suc: nat > nat). 0.79/0.62 thf(decl_31, type, ord_less_nat: nat > nat > $o). 0.79/0.62 thf(decl_34, type, polyno578545843gree_a: polyno727731844poly_a > nat). 0.79/0.62 thf(decl_37, type, polyno1372495879olyh_a: polyno727731844poly_a > nat > $o). 0.79/0.62 thf(decl_40, type, n: nat). 0.79/0.62 thf(decl_41, type, p: polyno727731844poly_a). 0.79/0.62 thf(decl_64, type, esk23_1: nat > nat). 0.79/0.62 thf(decl_69, type, esk28_1: nat > nat). 0.79/0.62 thf(decl_89, type, esk48_1: nat > nat). 0.79/0.62 thf(decl_96, type, esk55_1: nat > nat). 0.79/0.62 thf(decl_97, type, esk56_1: nat > nat). 0.79/0.62 thf(fact_69_not0__implies__Suc, axiom, ![X7:nat]:((((X7)!=(zero_zero_nat))=>?[X327:nat]:(((X7)=(suc @ X327))))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_69_not0__implies__Suc)). 0.79/0.62 thf(fact_57_nat_Odistinct_I1_J, axiom, ![X5:nat]:(((zero_zero_nat)!=(suc @ X5))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_57_nat_Odistinct_I1_J)). 0.79/0.62 thf(fact_36_nat_Oinject, axiom, ![X5:nat, X54:nat]:((((suc @ X5)=(suc @ X54))<=>((X5)=(X54)))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_36_nat_Oinject)). 0.79/0.62 thf(fact_98_gr0__conv__Suc, axiom, ![X7:nat]:(((ord_less_nat @ zero_zero_nat @ X7)<=>?[X20:nat]:(((X7)=(suc @ X20))))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_98_gr0__conv__Suc)). 0.79/0.62 thf(fact_100_gr0__implies__Suc, axiom, ![X7:nat]:((?[X327:nat]:(((X7)=(suc @ X327)))<=(ord_less_nat @ zero_zero_nat @ X7))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_100_gr0__implies__Suc)). 0.79/0.62 thf(fact_67_old_Onat_Oexhaust, axiom, ![X190:nat]:((((X190)!=(zero_zero_nat))=>~(![X191:nat]:(((X190)!=(suc @ X191)))))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_67_old_Onat_Oexhaust)). 0.79/0.62 thf(conj_0, hypothesis, (ord_less_nat @ zero_zero_nat @ n), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', conj_0)). 0.79/0.62 thf(fact_56_polypow_Ocases, axiom, ![X3:nat]:((~(![X48:nat]:(((X3)!=(suc @ X48))))<=((X3)!=(zero_zero_nat)))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_56_polypow_Ocases)). 0.79/0.62 thf(fact_31_degree__isnpolyh__Suc, axiom, ![X79:polyno727731844poly_a, X7:nat]:((((polyno578545843gree_a @ X79)=(zero_zero_nat))<=(polyno1372495879olyh_a @ X79 @ (suc @ X7)))), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', fact_31_degree__isnpolyh__Suc)). 0.79/0.62 thf(conj_2, conjecture, ((polyno578545843gree_a @ p)=(zero_zero_nat)), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', conj_2)). 0.79/0.62 thf(conj_1, hypothesis, (polyno1372495879olyh_a @ p @ n), file('/export/starexec/sandbox2/tmp/tmp.8SRSrKOKq0/E---3.1_5760.p', conj_1)). 0.79/0.62 thf(c_0_11, plain, ![X7:nat]:((((X7)!=(zero_zero_nat))=>?[X327:nat]:(((X7)=(suc @ X327))))), inference(fof_simplification,[status(thm)],[fact_69_not0__implies__Suc])). 0.79/0.62 thf(c_0_12, plain, ![X5:nat]:(((zero_zero_nat)!=(suc @ X5))), inference(fof_simplification,[status(thm)],[fact_57_nat_Odistinct_I1_J])). 0.79/0.62 thf(c_0_13, plain, ![X1183:nat, X1184:nat]:(((((suc @ X1183)!=(suc @ X1184))|((X1183)=(X1184)))&(((X1183)!=(X1184))|((suc @ X1183)=(suc @ X1184))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_36_nat_Oinject])])])). 0.79/0.62 thf(c_0_14, plain, ![X1299:nat]:((((X1299)=(zero_zero_nat))|((X1299)=(suc @ (esk55_1 @ X1299))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 0.79/0.62 thf(c_0_15, plain, ![X1143:nat]:(((zero_zero_nat)!=(suc @ X1143))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])])). 0.79/0.62 thf(c_0_16, plain, ![X1153:nat, X1155:nat, X1156:nat]:(((~(ord_less_nat @ zero_zero_nat @ X1153)|((X1153)=(suc @ (esk23_1 @ X1153))))&(((X1155)!=(suc @ X1156))|(ord_less_nat @ zero_zero_nat @ X1155)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_98_gr0__conv__Suc])])])])])])). 0.79/0.62 thf(c_0_17, plain, ![X7:nat]:(((ord_less_nat @ zero_zero_nat @ X7)=>?[X327:nat]:(((X7)=(suc @ X327))))), inference(fof_simplification,[status(thm)],[fact_100_gr0__implies__Suc])). 0.79/0.62 thf(c_0_18, plain, ![X190:nat]:((((X190)!=(zero_zero_nat))=>~(![X191:nat]:(((X190)!=(suc @ X191)))))), inference(fof_simplification,[status(thm)],[fact_67_old_Onat_Oexhaust])). 0.79/0.62 thf(c_0_19, plain, ![X1:nat, X2:nat]:((((X1)=(X2))|((suc @ X1)!=(suc @ X2)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.79/0.62 thf(c_0_20, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|((X1)=(suc @ (esk55_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.79/0.62 thf(c_0_21, plain, ![X1:nat]:(((zero_zero_nat)!=(suc @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.79/0.62 thf(c_0_22, plain, ![X1:nat]:((((X1)=(suc @ (esk23_1 @ X1)))|~((ord_less_nat @ zero_zero_nat @ X1)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.79/0.62 thf(c_0_23, hypothesis, (ord_less_nat @ zero_zero_nat @ n), inference(split_conjunct,[status(thm)],[conj_0])). 0.79/0.62 thf(c_0_24, plain, ![X1301:nat]:((~(ord_less_nat @ zero_zero_nat @ X1301)|((X1301)=(suc @ (esk56_1 @ X1301))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])). 0.79/0.62 thf(c_0_25, plain, ![X1259:nat]:((((X1259)=(zero_zero_nat))|((X1259)=(suc @ (esk48_1 @ X1259))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])). 0.79/0.62 thf(c_0_26, plain, ![X1:nat]:(((esk55_1 @ (suc @ X1))=(X1))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20])]), c_0_21])). 0.79/0.62 thf(c_0_27, hypothesis, ((suc @ (esk23_1 @ n))=(n)), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.79/0.62 thf(c_0_28, plain, ![X3:nat]:((((X3)!=(zero_zero_nat))=>~(![X48:nat]:(((X3)!=(suc @ X48)))))), inference(fof_simplification,[status(thm)],[fact_56_polypow_Ocases])). 0.79/0.62 thf(c_0_29, plain, ![X1:nat]:((((X1)=(suc @ (esk56_1 @ X1)))|~((ord_less_nat @ zero_zero_nat @ X1)))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.79/0.62 thf(c_0_30, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|((X1)=(suc @ (esk48_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.79/0.62 thf(c_0_31, hypothesis, ((esk23_1 @ n)=(esk55_1 @ n)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.79/0.62 thf(c_0_32, plain, ![X1175:nat]:((((X1175)=(zero_zero_nat))|((X1175)=(suc @ (esk28_1 @ X1175))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])). 0.79/0.62 thf(c_0_33, hypothesis, ((suc @ (esk56_1 @ n))=(n)), inference(spm,[status(thm)],[c_0_29, c_0_23])). 0.79/0.62 thf(c_0_34, plain, ![X1:nat]:(((esk48_1 @ (suc @ X1))=(X1))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_30])]), c_0_21])). 0.79/0.62 thf(c_0_35, hypothesis, ((suc @ (esk55_1 @ n))=(n)), inference(rw,[status(thm)],[c_0_27, c_0_31])). 0.79/0.62 thf(c_0_36, plain, ![X1:nat]:((((X1)=(zero_zero_nat))|((X1)=(suc @ (esk28_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.79/0.62 thf(c_0_37, hypothesis, ((esk56_1 @ n)=(esk55_1 @ n)), inference(spm,[status(thm)],[c_0_26, c_0_33])). 0.79/0.62 thf(c_0_38, hypothesis, ((esk55_1 @ n)=(esk48_1 @ n)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.79/0.62 thf(c_0_39, plain, ![X79:polyno727731844poly_a, X7:nat]:(((polyno1372495879olyh_a @ X79 @ (suc @ X7))=>((polyno578545843gree_a @ X79)=(zero_zero_nat)))), inference(fof_simplification,[status(thm)],[fact_31_degree__isnpolyh__Suc])). 0.79/0.62 thf(c_0_40, plain, ![X1:nat]:(((esk28_1 @ (suc @ X1))=(X1))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_36])]), c_0_21])). 0.79/0.62 thf(c_0_41, hypothesis, ((suc @ (esk48_1 @ n))=(n)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_37]), c_0_38])). 0.79/0.62 thf(c_0_42, plain, ![X1021:polyno727731844poly_a, X1022:nat]:((~(polyno1372495879olyh_a @ X1021 @ (suc @ X1022))|((polyno578545843gree_a @ X1021)=(zero_zero_nat)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])). 0.79/0.62 thf(c_0_43, hypothesis, ((esk48_1 @ n)=(esk28_1 @ n)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.79/0.62 thf(c_0_44, negated_conjecture, ((polyno578545843gree_a @ p)!=(zero_zero_nat)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 0.79/0.62 thf(c_0_45, plain, ![X79:polyno727731844poly_a, X1:nat]:((((polyno578545843gree_a @ X79)=(zero_zero_nat))|~((polyno1372495879olyh_a @ X79 @ (suc @ X1))))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.79/0.62 thf(c_0_46, hypothesis, ((suc @ (esk28_1 @ n))=(n)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_38]), c_0_43])). 0.79/0.62 thf(c_0_47, negated_conjecture, ((polyno578545843gree_a @ p)!=(zero_zero_nat)), inference(fof_nnf,[status(thm)],[c_0_44])). 0.79/0.62 thf(c_0_48, hypothesis, ![X79:polyno727731844poly_a]:((((polyno578545843gree_a @ X79)=(zero_zero_nat))|~((polyno1372495879olyh_a @ X79 @ n)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.79/0.62 thf(c_0_49, hypothesis, (polyno1372495879olyh_a @ p @ n), inference(split_conjunct,[status(thm)],[conj_1])). 0.79/0.62 thf(c_0_50, negated_conjecture, ((polyno578545843gree_a @ p)!=(zero_zero_nat)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.79/0.62 thf(c_0_51, hypothesis, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), ['proof']). 0.79/0.62 # SZS output end CNFRefutation 0.79/0.62 # Parsed axioms : 373 0.79/0.62 # Removed by relevancy pruning/SinE : 146 0.79/0.62 # Initial clauses : 507 0.79/0.62 # Removed in clause preprocessing : 17 0.79/0.62 # Initial clauses in saturation : 490 0.79/0.62 # Processed clauses : 721 0.79/0.62 # ...of these trivial : 7 0.79/0.62 # ...subsumed : 279 0.79/0.62 # ...remaining for further processing : 435 0.79/0.62 # Other redundant clauses eliminated : 91 0.79/0.62 # Clauses deleted for lack of memory : 0 0.79/0.62 # Backward-subsumed : 1 0.79/0.62 # Backward-rewritten : 16 0.79/0.62 # Generated clauses : 683 0.79/0.62 # ...of the previous two non-redundant : 571 0.79/0.62 # ...aggressively subsumed : 0 0.79/0.62 # Contextual simplify-reflections : 1 0.79/0.62 # Paramodulations : 585 0.79/0.62 # Factorizations : 6 0.79/0.62 # NegExts : 0 0.79/0.62 # Equation resolutions : 92 0.79/0.62 # Disequality decompositions : 0 0.79/0.62 # Total rewrite steps : 154 0.79/0.62 # ...of those cached : 111 0.79/0.62 # Propositional unsat checks : 0 0.79/0.62 # Propositional check models : 0 0.79/0.62 # Propositional check unsatisfiable : 0 0.79/0.62 # Propositional clauses : 0 0.79/0.62 # Propositional clauses after purity: 0 0.79/0.62 # Propositional unsat core size : 0 0.79/0.62 # Propositional preprocessing time : 0.000 0.79/0.62 # Propositional encoding time : 0.000 0.79/0.62 # Propositional solver time : 0.000 0.79/0.62 # Success case prop preproc time : 0.000 0.79/0.62 # Success case prop encoding time : 0.000 0.79/0.62 # Success case prop solver time : 0.000 0.79/0.62 # Current number of processed clauses : 112 0.79/0.62 # Positive orientable unit clauses : 21 0.79/0.62 # Positive unorientable unit clauses: 0 0.79/0.62 # Negative unit clauses : 16 0.79/0.62 # Non-unit-clauses : 75 0.79/0.62 # Current number of unprocessed clauses: 542 0.79/0.62 # ...number of literals in the above : 1482 0.79/0.62 # Current number of archived formulas : 0 0.79/0.62 # Current number of archived clauses : 238 0.79/0.62 # Clause-clause subsumption calls (NU) : 5107 0.79/0.62 # Rec. Clause-clause subsumption calls : 3448 0.79/0.62 # Non-unit clause-clause subsumptions : 214 0.79/0.62 # Unit Clause-clause subsumption calls : 604 0.79/0.62 # Rewrite failures with RHS unbound : 0 0.79/0.62 # BW rewrite match attempts : 18 0.79/0.62 # BW rewrite match successes : 7 0.79/0.62 # Condensation attempts : 0 0.79/0.62 # Condensation successes : 0 0.79/0.62 # Termbank termtop insertions : 51800 0.79/0.62 # Search garbage collected termcells : 12389 0.79/0.62 0.79/0.62 # ------------------------------------------------- 0.79/0.62 # User time : 0.082 s 0.79/0.62 # System time : 0.006 s 0.79/0.62 # Total time : 0.089 s 0.79/0.62 # Maximum resident set size: 4276 pages 0.79/0.62 0.79/0.62 # ------------------------------------------------- 0.79/0.62 # User time : 0.094 s 0.79/0.62 # System time : 0.009 s 0.79/0.62 # Total time : 0.103 s 0.79/0.62 # Maximum resident set size: 2416 pages 0.79/0.62 % E exiting 0.79/0.62 % E exiting 0.79/0.62 EOF