0.03/0.12 % Problem : SLH511^1 : TPTP v7.5.0. Released v7.5.0. 0.03/0.14 % Command : run_E %s %d THM 0.14/0.34 % Computer : n024.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 30 0.14/0.34 % WCLimit : 30 0.14/0.34 % DateTime : Tue Aug 9 03:08:22 EDT 2022 0.14/0.35 % CPUTime : 0.20/0.47 The problem SPC is TH0_THM_EQU_NAR 0.20/0.47 Running higher-order on 1 cores theorem proving 0.20/0.47 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 0.20/0.48 # Version: 3.0pre003-ho 0.20/0.52 # Preprocessing class: HSLSSMSSSSLNHSA. 0.20/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting pre_casc_6 with 30s (1) cores 0.20/0.52 # pre_casc_6 with pid 20163 completed with status 0 0.20/0.52 # Result found by pre_casc_6 0.20/0.52 # Preprocessing class: HSLSSMSSSSLNHSA. 0.20/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting pre_casc_6 with 30s (1) cores 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.20/0.52 # ...ProofStateSinE()=189/222 0.20/0.52 # Search class: HGHSM-FSLM32-DHSFFSBN 0.20/0.52 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting full_lambda_3 with 14s (1) cores 0.20/0.52 # full_lambda_3 with pid 20164 completed with status 0 0.20/0.52 # Result found by full_lambda_3 0.20/0.52 # Preprocessing class: HSLSSMSSSSLNHSA. 0.20/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting pre_casc_6 with 30s (1) cores 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.20/0.52 # ...ProofStateSinE()=189/222 0.20/0.52 # Search class: HGHSM-FSLM32-DHSFFSBN 0.20/0.52 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting full_lambda_3 with 14s (1) cores 0.20/0.52 # Preprocessing time : 0.007 s 0.20/0.52 0.20/0.52 # Proof found! 0.20/0.52 # SZS status ContradictoryAxioms 0.20/0.52 # SZS output start CNFRefutation 0.20/0.52 thf(decl_22, type, fun_upd_nat_nat: (nat > nat) > nat > nat > nat > nat). 0.20/0.52 thf(decl_23, type, minus_minus_nat: nat > nat > nat). 0.20/0.52 thf(decl_24, type, one_one_nat: nat). 0.20/0.52 thf(decl_25, type, plus_plus_nat: nat > nat > nat). 0.20/0.52 thf(decl_26, type, times_times_nat: nat > nat > nat). 0.20/0.52 thf(decl_27, type, zero_zero_nat: nat). 0.20/0.52 thf(decl_28, type, groups1842438620at_nat: (nat > nat) > set_nat > nat). 0.20/0.52 thf(decl_29, type, number1551313001itions: (nat > nat) > nat > $o). 0.20/0.52 thf(decl_30, type, ord_less_nat: nat > nat > $o). 0.20/0.52 thf(decl_31, type, ord_less_eq_nat: nat > nat > $o). 0.20/0.52 thf(decl_32, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.20/0.52 thf(decl_33, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o). 0.20/0.52 thf(decl_34, type, collect_nat: (nat > $o) > set_nat). 0.20/0.52 thf(decl_35, type, collect_set_nat: (set_nat > $o) > set_set_nat). 0.20/0.52 thf(decl_36, type, set_ord_atMost_nat: nat > set_nat). 0.20/0.52 thf(decl_37, type, set_or1086813439et_nat: set_nat > set_set_nat). 0.20/0.52 thf(decl_38, type, member_nat: nat > set_nat > $o). 0.20/0.52 thf(decl_39, type, member_set_nat: set_nat > set_set_nat > $o). 0.20/0.52 thf(decl_40, type, i: nat). 0.20/0.52 thf(decl_41, type, k: nat). 0.20/0.52 thf(decl_42, type, m: nat). 0.20/0.52 thf(decl_43, type, p: nat > nat). 0.20/0.52 thf(decl_44, type, esk1_1: (nat > $o) > nat). 0.20/0.52 thf(decl_45, type, esk2_1: (nat > $o) > nat). 0.20/0.52 thf(decl_46, type, esk3_1: (nat > $o) > nat). 0.20/0.52 thf(decl_47, type, esk4_1: (nat > nat) > nat). 0.20/0.52 thf(decl_48, type, esk5_1: (nat > nat) > nat). 0.20/0.52 thf(decl_49, type, esk6_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_50, type, esk7_2: set_nat > (nat > nat) > nat). 0.20/0.52 thf(decl_51, type, esk8_2: set_nat > (nat > nat) > nat). 0.20/0.52 thf(decl_52, type, esk9_2: (nat > nat) > set_nat > nat). 0.20/0.52 thf(decl_53, type, esk10_2: set_nat > (nat > nat) > nat). 0.20/0.52 thf(decl_54, type, esk11_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_55, type, esk12_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_56, type, esk13_2: (nat > nat) > nat > nat). 0.20/0.52 thf(decl_57, type, esk14_2: (nat > nat) > nat > nat). 0.20/0.52 thf(decl_58, type, esk15_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_59, type, esk16_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.20/0.52 thf(decl_60, type, esk17_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.20/0.52 thf(decl_61, type, esk18_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.20/0.52 thf(decl_62, type, esk19_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_63, type, esk20_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 0.20/0.52 thf(decl_64, type, esk21_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_65, type, esk22_3: set_nat > set_nat > (nat > nat) > nat). 0.20/0.52 thf(decl_66, type, esk23_4: set_nat > set_nat > (nat > nat) > nat > nat). 0.20/0.52 thf(decl_67, type, esk24_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.20/0.52 thf(decl_68, type, esk25_2: (nat > $o) > nat > nat). 0.20/0.52 thf(decl_69, type, esk26_1: (nat > $o) > nat). 0.20/0.52 thf(decl_70, type, esk27_2: (nat > $o) > nat > nat). 0.20/0.52 thf(decl_71, type, esk28_1: (nat > $o) > nat). 0.20/0.52 thf(decl_72, type, esk29_1: (nat > nat) > nat). 0.20/0.52 thf(decl_73, type, esk30_0: nat > nat). 0.20/0.52 thf(decl_74, type, esk31_0: nat > nat). 0.20/0.52 thf(decl_75, type, esk32_2: (nat > nat) > (nat > nat) > nat > nat > nat). 0.20/0.52 thf(decl_76, type, esk33_3: set_nat > (nat > nat) > (nat > nat) > nat > nat). 0.20/0.52 thf(decl_77, type, esk34_2: (nat > nat) > nat > nat > nat). 0.20/0.52 thf(decl_78, type, esk35_2: nat > (nat > nat) > nat > nat). 0.20/0.52 thf(decl_79, type, esk36_2: set_nat > (nat > nat > nat) > nat > nat). 0.20/0.52 thf(decl_80, type, esk37_1: (nat > nat > nat) > nat > nat > nat). 0.20/0.52 thf(decl_81, type, esk38_0: nat > nat). 0.20/0.52 thf(decl_82, type, esk39_2: (nat > nat) > (nat > nat) > nat > nat). 0.20/0.52 thf(decl_83, type, esk40_1: (nat > nat) > nat > nat). 0.20/0.52 thf(decl_84, type, esk41_2: (nat > nat) > (nat > nat) > nat > nat). 0.20/0.52 thf(fact_3__092_060open_062_I_092_060Sum_062i_092_060le_062m_O_Ap_Ai_A_K_Ai_J_A_061_Ai_A_L_A1_A_L_A_I_092_060Sum_062j_092_060le_062m_O_A_Ip_Ii_A_L_A1_A_058_061_Ap_A_Ii_A_L_A1_J_A_N_A1_J_J_Aj_A_K_Aj_J_092_060close_062, axiom, ((groups1842438620at_nat @ (^[X1:nat]:(times_times_nat @ (p @ X1) @ X1)) @ (set_ord_atMost_nat @ m))=(plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ (^[X2:nat]:(times_times_nat @ (fun_upd_nat_nat @ p @ (plus_plus_nat @ i @ one_one_nat) @ (minus_minus_nat @ (p @ (plus_plus_nat @ i @ one_one_nat)) @ one_one_nat) @ X2) @ X2)) @ (set_ord_atMost_nat @ m)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3__092_060open_062_I_092_060Sum_062i_092_060le_062m_O_Ap_Ai_A_K_Ai_J_A_061_Ai_A_L_A1_A_L_A_I_092_060Sum_062j_092_060le_062m_O_A_Ip_Ii_A_L_A1_A_058_061_Ap_A_Ii_A_L_A1_J_A_N_A1_J_J_Aj_A_K_Aj_J_092_060close_062)). 0.20/0.52 thf(fact_1_s, axiom, ((groups1842438620at_nat @ (^[X1:nat]:(times_times_nat @ (p @ X1) @ X1)) @ (set_ord_atMost_nat @ m))=(m)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_s)). 0.20/0.52 thf(fact_151_less__not__refl, axiom, ![X13:nat]:(~((ord_less_nat @ X13 @ X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_151_less__not__refl)). 0.20/0.52 thf(fact_4__092_060open_062m_A_060_Ai_A_L_A1_A_L_A_I_092_060Sum_062j_092_060le_062m_O_A_Ip_Ii_A_L_A1_A_058_061_Ap_A_Ii_A_L_A1_J_A_N_A1_J_J_Aj_A_K_Aj_J_092_060close_062, axiom, (ord_less_nat @ m @ (plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ (^[X2:nat]:(times_times_nat @ (fun_upd_nat_nat @ p @ (plus_plus_nat @ i @ one_one_nat) @ (minus_minus_nat @ (p @ (plus_plus_nat @ i @ one_one_nat)) @ one_one_nat) @ X2) @ X2)) @ (set_ord_atMost_nat @ m)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4__092_060open_062m_A_060_Ai_A_L_A1_A_L_A_I_092_060Sum_062j_092_060le_062m_O_A_Ip_Ii_A_L_A1_A_058_061_Ap_A_Ii_A_L_A1_J_A_N_A1_J_J_Aj_A_K_Aj_J_092_060close_062)). 0.20/0.52 thf(c_0_4, plain, ((groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (p @ Z0) @ Z0)) @ (set_ord_atMost_nat @ m))=(plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (fun_upd_nat_nat @ p @ (plus_plus_nat @ i @ one_one_nat) @ (minus_minus_nat @ (p @ (plus_plus_nat @ i @ one_one_nat)) @ one_one_nat) @ Z0) @ Z0)) @ (set_ord_atMost_nat @ m)))), inference(fof_simplification,[status(thm)],[fact_3__092_060open_062_I_092_060Sum_062i_092_060le_062m_O_Ap_Ai_A_K_Ai_J_A_061_Ai_A_L_A1_A_L_A_I_092_060Sum_062j_092_060le_062m_O_A_Ip_Ii_A_L_A1_A_058_061_Ap_A_Ii_A_L_A1_J_A_N_A1_J_J_Aj_A_K_Aj_J_092_060close_062])). 0.20/0.52 thf(c_0_5, plain, ![X965:nat]:(((esk31_0 @ X965)=(times_times_nat @ (fun_upd_nat_nat @ p @ (plus_plus_nat @ i @ one_one_nat) @ (minus_minus_nat @ (p @ (plus_plus_nat @ i @ one_one_nat)) @ one_one_nat) @ X965) @ X965))), introduced(definition)). 0.20/0.52 thf(c_0_6, plain, ![X962:nat]:(((esk30_0 @ X962)=(times_times_nat @ (p @ X962) @ X962))), introduced(definition)). 0.20/0.52 thf(c_0_7, plain, ((groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (p @ Z0) @ Z0)) @ (set_ord_atMost_nat @ m))=(m)), inference(fof_simplification,[status(thm)],[fact_1_s])). 0.20/0.52 thf(c_0_8, plain, ![X13:nat]:(~(ord_less_nat @ X13 @ X13)), inference(fof_simplification,[status(thm)],[fact_151_less__not__refl])). 0.20/0.52 thf(c_0_9, plain, (ord_less_nat @ m @ (plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ (^[Z0:nat]:(times_times_nat @ (fun_upd_nat_nat @ p @ (plus_plus_nat @ i @ one_one_nat) @ (minus_minus_nat @ (p @ (plus_plus_nat @ i @ one_one_nat)) @ one_one_nat) @ Z0) @ Z0)) @ (set_ord_atMost_nat @ m)))), inference(fof_simplification,[status(thm)],[fact_4__092_060open_062m_A_060_Ai_A_L_A1_A_L_A_I_092_060Sum_062j_092_060le_062m_O_A_Ip_Ii_A_L_A1_A_058_061_Ap_A_Ii_A_L_A1_J_A_N_A1_J_J_Aj_A_K_Aj_J_092_060close_062])). 0.20/0.52 thf(c_0_10, plain, ((groups1842438620at_nat @ esk30_0 @ (set_ord_atMost_nat @ m))=(plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ esk31_0 @ (set_ord_atMost_nat @ m)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4]), c_0_5]), c_0_6])). 0.20/0.52 thf(c_0_11, plain, ((groups1842438620at_nat @ esk30_0 @ (set_ord_atMost_nat @ m))=(m)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_7]), c_0_6])). 0.20/0.52 thf(c_0_12, plain, ![X616:nat]:(~(ord_less_nat @ X616 @ X616)), inference(variable_rename,[status(thm)],[c_0_8])). 0.20/0.52 thf(c_0_13, plain, (((ord_less_nat @ m @ (plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ esk31_0 @ (set_ord_atMost_nat @ m)))))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9]), c_0_5])). 0.20/0.52 thf(c_0_14, plain, ((plus_plus_nat @ (plus_plus_nat @ i @ one_one_nat) @ (groups1842438620at_nat @ esk31_0 @ (set_ord_atMost_nat @ m)))=(m)), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.20/0.52 thf(c_0_15, plain, ![X1:nat]:(~((ord_less_nat @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.20/0.52 thf(c_0_16, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_13]), c_0_14]), c_0_15]), ['proof']). 0.20/0.52 # SZS output end CNFRefutation 0.20/0.52 # Parsed axioms : 222 0.20/0.52 # Removed by relevancy pruning/SinE : 33 0.20/0.52 # Initial clauses : 324 0.20/0.52 # Removed in clause preprocessing : 8 0.20/0.52 # Initial clauses in saturation : 316 0.20/0.52 # Processed clauses : 137 0.20/0.52 # ...of these trivial : 5 0.20/0.52 # ...subsumed : 24 0.20/0.52 # ...remaining for further processing : 107 0.20/0.52 # Other redundant clauses eliminated : 40 0.20/0.52 # Clauses deleted for lack of memory : 0 0.20/0.52 # Backward-subsumed : 4 0.20/0.52 # Backward-rewritten : 1 0.20/0.52 # Generated clauses : 409 0.20/0.52 # ...of the previous two non-redundant : 303 0.20/0.52 # ...aggressively subsumed : 0 0.20/0.52 # Contextual simplify-reflections : 0 0.20/0.52 # Paramodulations : 343 0.20/0.52 # Factorizations : 14 0.20/0.52 # NegExts : 0 0.20/0.52 # Equation resolutions : 41 0.20/0.52 # Propositional unsat checks : 0 0.20/0.52 # Propositional check models : 0 0.20/0.52 # Propositional check unsatisfiable : 0 0.20/0.52 # Propositional clauses : 0 0.20/0.52 # Propositional clauses after purity: 0 0.20/0.52 # Propositional unsat core size : 0 0.20/0.52 # Propositional preprocessing time : 0.000 0.20/0.52 # Propositional encoding time : 0.000 0.20/0.52 # Propositional solver time : 0.000 0.20/0.52 # Success case prop preproc time : 0.000 0.20/0.52 # Success case prop encoding time : 0.000 0.20/0.52 # Success case prop solver time : 0.000 0.20/0.52 # Current number of processed clauses : 75 0.20/0.52 # Positive orientable unit clauses : 26 0.20/0.52 # Positive unorientable unit clauses: 0 0.20/0.52 # Negative unit clauses : 8 0.20/0.52 # Non-unit-clauses : 41 0.20/0.52 # Current number of unprocessed clauses: 482 0.20/0.52 # ...number of literals in the above : 1269 0.20/0.52 # Current number of archived formulas : 0 0.20/0.52 # Current number of archived clauses : 5 0.20/0.52 # Clause-clause subsumption calls (NU) : 474 0.20/0.52 # Rec. Clause-clause subsumption calls : 447 0.20/0.52 # Non-unit clause-clause subsumptions : 22 0.20/0.52 # Unit Clause-clause subsumption calls : 11 0.20/0.52 # Rewrite failures with RHS unbound : 0 0.20/0.52 # BW rewrite match attempts : 10 0.20/0.52 # BW rewrite match successes : 1 0.20/0.52 # Condensation attempts : 137 0.20/0.52 # Condensation successes : 0 0.20/0.52 # Termbank termtop insertions : 35971 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.033 s 0.20/0.52 # System time : 0.006 s 0.20/0.52 # Total time : 0.039 s 0.20/0.52 # Maximum resident set size: 3272 pages 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.040 s 0.20/0.52 # System time : 0.008 s 0.20/0.52 # Total time : 0.048 s 0.20/0.52 # Maximum resident set size: 2048 pages 0.20/0.52 EOF