0.08/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.08/0.35 % Computer : n017.cluster.edu 0.08/0.35 % Model : x86_64 x86_64 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.35 % Memory : 8042.1875MB 0.08/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.35 % CPULimit : 1920 0.08/0.35 % WCLimit : 240 0.08/0.35 % DateTime : Wed Jul 30 02:33:34 EDT 2025 0.08/0.35 % CPUTime : 0.14/0.46 Running higher-order theorem proving 0.14/0.48 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=240 /export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p 0.43/0.62 # Version: 3.0.0-ho 0.43/0.62 # Preprocessing class: HSLSSMSMSSSNHFA. 0.43/0.62 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.43/0.62 # Starting new_ho_10 with 1200s (5) cores 0.43/0.62 # Starting new_ho_10_cnf2 with 240s (1) cores 0.43/0.62 # Starting full_lambda_6 with 240s (1) cores 0.43/0.62 # Starting full_lambda_9 with 240s (1) cores 0.43/0.62 # new_ho_10 with pid 13175 completed with status 0 0.43/0.62 # Result found by new_ho_10 0.43/0.62 # Preprocessing class: HSLSSMSMSSSNHFA. 0.43/0.62 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.43/0.62 # Starting new_ho_10 with 1200s (5) cores 0.43/0.62 # No SInE strategy applied 0.43/0.62 # Search class: HGHSM-FSLM32-MHFFFSBC 0.43/0.62 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.43/0.62 # Starting additional_ho_6 with 649s (1) cores 0.43/0.62 # Starting new_ho_10 with 121s (1) cores 0.43/0.62 # Starting new_ho_3 with 109s (1) cores 0.43/0.62 # Starting sh3 with 109s (1) cores 0.43/0.62 # Starting pre_casc_2 with 109s (1) cores 0.43/0.62 # pre_casc_2 with pid 13184 completed with status 0 0.43/0.62 # Result found by pre_casc_2 0.43/0.62 # Preprocessing class: HSLSSMSMSSSNHFA. 0.43/0.62 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.43/0.62 # Starting new_ho_10 with 1200s (5) cores 0.43/0.62 # No SInE strategy applied 0.43/0.62 # Search class: HGHSM-FSLM32-MHFFFSBC 0.43/0.62 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.43/0.62 # Starting additional_ho_6 with 649s (1) cores 0.43/0.62 # Starting new_ho_10 with 121s (1) cores 0.43/0.62 # Starting new_ho_3 with 109s (1) cores 0.43/0.62 # Starting sh3 with 109s (1) cores 0.43/0.62 # Starting pre_casc_2 with 109s (1) cores 0.43/0.62 # Preprocessing time : 0.011 s 0.43/0.62 # Presaturation interreduction done 0.43/0.62 0.43/0.62 # Proof found! 0.43/0.62 # SZS status Theorem 0.43/0.62 # SZS output start CNFRefutation 0.43/0.62 thf(decl_sort1, type, prefix1027212443list_a: $tType). 0.43/0.62 thf(decl_sort2, type, nat: $tType). 0.43/0.62 thf(decl_sort3, type, formula_a: $tType). 0.43/0.62 thf(decl_sort4, type, trace_1367752404list_a: $tType). 0.43/0.62 thf(decl_27, type, monito1457594016ress_a: trace_1367752404list_a > formula_a > nat > nat). 0.43/0.62 thf(decl_28, type, ord_less_nat: nat > nat > $o). 0.43/0.62 thf(decl_30, type, ord_less_eq_nat: nat > nat > $o). 0.43/0.62 thf(decl_33, type, plen_P694648887list_a: prefix1027212443list_a > nat). 0.43/0.62 thf(decl_37, type, phi_1: formula_a). 0.43/0.62 thf(decl_39, type, pi: prefix1027212443list_a). 0.43/0.62 thf(decl_40, type, sigma: trace_1367752404list_a). 0.43/0.62 thf(decl_47, type, k: nat). 0.43/0.62 thf(conj_0, conjecture, (ord_less_nat @ k @ (plen_P694648887list_a @ pi)), file('/export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p', conj_0)). 0.43/0.62 thf(fact_182_not__le__imp__less, axiom, ![X2:nat, X1:nat]:((~((ord_less_eq_nat @ X2 @ X1))=>(ord_less_nat @ X1 @ X2))), file('/export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p', fact_182_not__le__imp__less)). 0.43/0.62 thf(fact_194_dual__order_Ostrict__trans2, axiom, ![X311:nat, X312:nat, X313:nat]:((((ord_less_eq_nat @ X313 @ X311)=>(ord_less_nat @ X313 @ X312))<=(ord_less_nat @ X311 @ X312))), file('/export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p', fact_194_dual__order_Ostrict__trans2)). 0.43/0.62 thf(fact_181_less__le__not__le, axiom, ((ord_less_nat)=(^[X100:nat, X101:nat]:((~((ord_less_eq_nat @ X101 @ X100))&(ord_less_eq_nat @ X100 @ X101))))), file('/export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p', fact_181_less__le__not__le)). 0.43/0.62 thf(fact_20_progress__le, axiom, ![X49:trace_1367752404list_a, X51:formula_a, X65:nat]:((ord_less_eq_nat @ (monito1457594016ress_a @ X49 @ X51 @ X65) @ X65)), file('/export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p', fact_20_progress__le)). 0.43/0.62 thf(fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062, axiom, (ord_less_nat @ k @ (monito1457594016ress_a @ sigma @ phi_1 @ (plen_P694648887list_a @ pi))), file('/export/starexec/sandbox/tmp/tmp.anDubk2MCx/E---3.1_13097.p', fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062)). 0.43/0.62 thf(c_0_6, negated_conjecture, ~(ord_less_nat @ k @ (plen_P694648887list_a @ pi)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.43/0.62 thf(c_0_7, plain, ![X2:nat, X1:nat]:((~(ord_less_eq_nat @ X2 @ X1)=>(ord_less_nat @ X1 @ X2))), inference(fof_simplification,[status(thm)],[fact_182_not__le__imp__less])). 0.43/0.62 thf(c_0_8, plain, ![X311:nat, X312:nat, X313:nat]:(((ord_less_nat @ X311 @ X312)=>((ord_less_eq_nat @ X313 @ X311)=>(ord_less_nat @ X313 @ X312)))), inference(fof_simplification,[status(thm)],[fact_194_dual__order_Ostrict__trans2])). 0.43/0.62 thf(c_0_9, negated_conjecture, ~(ord_less_nat @ k @ (plen_P694648887list_a @ pi)), inference(fof_nnf,[status(thm)],[c_0_6])). 0.43/0.62 thf(c_0_10, plain, ![X1353:nat, X1354:nat]:(((ord_less_eq_nat @ X1353 @ X1354)|(ord_less_nat @ X1354 @ X1353))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 0.43/0.62 thf(c_0_11, plain, ![X1185:nat, X1186:nat]:(((ord_less_nat @ X1185 @ X1186)<=>(~(ord_less_eq_nat @ X1186 @ X1185)&(ord_less_eq_nat @ X1185 @ X1186)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_181_less__le__not__le])])])). 0.43/0.62 thf(c_0_12, plain, ![X1888:nat, X1889:nat, X1890:nat]:((~(ord_less_nat @ X1888 @ X1889)|(~(ord_less_eq_nat @ X1890 @ X1888)|(ord_less_nat @ X1890 @ X1889)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 0.43/0.62 thf(c_0_13, negated_conjecture, ~((ord_less_nat @ k @ (plen_P694648887list_a @ pi))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.43/0.62 thf(c_0_14, plain, ![X2:nat, X1:nat]:(((ord_less_eq_nat @ X1 @ X2)|(ord_less_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.43/0.62 thf(c_0_15, plain, ![X1413:nat, X1414:nat]:((((~(ord_less_eq_nat @ X1414 @ X1413)|~(ord_less_nat @ X1413 @ X1414))&((ord_less_eq_nat @ X1413 @ X1414)|~(ord_less_nat @ X1413 @ X1414)))&((ord_less_eq_nat @ X1414 @ X1413)|~(ord_less_eq_nat @ X1413 @ X1414)|(ord_less_nat @ X1413 @ X1414)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])). 0.43/0.62 thf(c_0_16, 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_12])). 0.43/0.62 thf(c_0_17, negated_conjecture, (ord_less_eq_nat @ (plen_P694648887list_a @ pi) @ k), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.43/0.62 thf(c_0_18, plain, ![X2:nat, X1:nat]:((~((ord_less_eq_nat @ X1 @ X2))|~((ord_less_nat @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.43/0.62 thf(c_0_19, negated_conjecture, ![X1:nat]:(((ord_less_nat @ (plen_P694648887list_a @ pi) @ X1)|~((ord_less_nat @ k @ X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.43/0.62 thf(c_0_20, plain, ![X1582:trace_1367752404list_a, X1583:formula_a, X1584:nat]:((ord_less_eq_nat @ (monito1457594016ress_a @ X1582 @ X1583 @ X1584) @ X1584)), inference(variable_rename,[status(thm)],[fact_20_progress__le])). 0.43/0.62 thf(c_0_21, negated_conjecture, ![X1:nat]:((~((ord_less_eq_nat @ X1 @ (plen_P694648887list_a @ pi)))|~((ord_less_nat @ k @ X1)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.43/0.62 thf(c_0_22, plain, (ord_less_nat @ k @ (monito1457594016ress_a @ sigma @ phi_1 @ (plen_P694648887list_a @ pi))), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062])). 0.43/0.62 thf(c_0_23, plain, ![X51:formula_a, X28:trace_1367752404list_a, X1:nat]:((ord_less_eq_nat @ (monito1457594016ress_a @ X28 @ X51 @ X1) @ X1)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.43/0.62 thf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), ['proof']). 0.43/0.62 # SZS output end CNFRefutation 0.43/0.62 # Parsed axioms : 315 0.43/0.62 # Removed by relevancy pruning/SinE : 0 0.43/0.62 # Initial clauses : 663 0.43/0.62 # Removed in clause preprocessing : 46 0.43/0.62 # Initial clauses in saturation : 617 0.43/0.62 # Processed clauses : 816 0.43/0.62 # ...of these trivial : 5 0.43/0.62 # ...subsumed : 234 0.43/0.62 # ...remaining for further processing : 577 0.43/0.62 # Other redundant clauses eliminated : 78 0.43/0.62 # Clauses deleted for lack of memory : 0 0.43/0.62 # Backward-subsumed : 4 0.43/0.62 # Backward-rewritten : 3 0.43/0.62 # Generated clauses : 734 0.43/0.62 # ...of the previous two non-redundant : 635 0.43/0.62 # ...aggressively subsumed : 0 0.43/0.62 # Contextual simplify-reflections : 3 0.43/0.62 # Paramodulations : 646 0.43/0.62 # Factorizations : 4 0.43/0.62 # NegExts : 0 0.43/0.62 # Equation resolutions : 83 0.43/0.62 # Disequality decompositions : 0 0.43/0.62 # Total rewrite steps : 117 0.43/0.62 # ...of those cached : 79 0.43/0.62 # Propositional unsat checks : 0 0.43/0.62 # Propositional check models : 0 0.43/0.62 # Propositional check unsatisfiable : 0 0.43/0.62 # Propositional clauses : 0 0.43/0.62 # Propositional clauses after purity: 0 0.43/0.62 # Propositional unsat core size : 0 0.43/0.62 # Propositional preprocessing time : 0.000 0.43/0.62 # Propositional encoding time : 0.000 0.43/0.62 # Propositional solver time : 0.000 0.43/0.62 # Success case prop preproc time : 0.000 0.43/0.62 # Success case prop encoding time : 0.000 0.43/0.62 # Success case prop solver time : 0.000 0.43/0.62 # Current number of processed clauses : 128 0.43/0.62 # Positive orientable unit clauses : 36 0.43/0.62 # Positive unorientable unit clauses: 1 0.43/0.62 # Negative unit clauses : 26 0.43/0.62 # Non-unit-clauses : 65 0.43/0.62 # Current number of unprocessed clauses: 787 0.43/0.62 # ...number of literals in the above : 2519 0.43/0.62 # Current number of archived formulas : 0 0.43/0.62 # Current number of archived clauses : 371 0.43/0.62 # Clause-clause subsumption calls (NU) : 31168 0.43/0.62 # Rec. Clause-clause subsumption calls : 6452 0.43/0.62 # Non-unit clause-clause subsumptions : 213 0.43/0.62 # Unit Clause-clause subsumption calls : 402 0.43/0.62 # Rewrite failures with RHS unbound : 0 0.43/0.62 # BW rewrite match attempts : 21 0.43/0.62 # BW rewrite match successes : 17 0.43/0.62 # Condensation attempts : 816 0.43/0.62 # Condensation successes : 15 0.43/0.62 # Termbank termtop insertions : 99272 0.43/0.62 # Search garbage collected termcells : 12696 0.43/0.62 0.43/0.62 # ------------------------------------------------- 0.43/0.62 # User time : 0.112 s 0.43/0.62 # System time : 0.010 s 0.43/0.62 # Total time : 0.122 s 0.43/0.62 # Maximum resident set size: 4832 pages 0.43/0.62 0.43/0.62 # ------------------------------------------------- 0.43/0.62 # User time : 0.332 s 0.43/0.62 # System time : 0.024 s 0.43/0.62 # Total time : 0.356 s 0.43/0.62 # Maximum resident set size: 2344 pages 0.43/0.62 % E exiting 0.43/0.62 % E exiting 0.43/0.62 EOF