0.07/0.12 % Problem : SLH513^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.14 % Command : run_E %s %d THM 0.13/0.35 % Computer : n018.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 30 0.13/0.35 % WCLimit : 30 0.13/0.35 % DateTime : Tue Aug 9 03:09:16 EDT 2022 0.13/0.35 % CPUTime : 0.20/0.49 The problem SPC is TH0_THM_EQU_NAR 0.20/0.49 Running higher-order on 1 cores theorem proving 0.20/0.49 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=1 --cpu-limit=30 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.49 # Version: 3.0pre003-ho 17.85/18.03 # Preprocessing class: HSLSSMSSSSSNHFA. 17.85/18.03 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.85/18.03 # Starting new_ho_10 with 30s (1) cores 17.85/18.03 # new_ho_10 with pid 9945 completed with status 0 17.85/18.03 # Result found by new_ho_10 17.85/18.03 # Preprocessing class: HSLSSMSSSSSNHFA. 17.85/18.03 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.85/18.03 # Starting new_ho_10 with 30s (1) cores 17.85/18.03 # No SInE strategy applied 17.85/18.03 # Search class: HGHSM-FSLM32-MHFFFSBC 17.85/18.03 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 17.85/18.03 # Starting additional_ho_6 with 17s (1) cores 17.85/18.03 # additional_ho_6 with pid 9946 completed with status 7 17.85/18.03 # Starting new_ho_10 with 4s (1) cores 17.85/18.03 # new_ho_10 with pid 10864 completed with status 0 17.85/18.03 # Result found by new_ho_10 17.85/18.03 # Preprocessing class: HSLSSMSSSSSNHFA. 17.85/18.03 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.85/18.03 # Starting new_ho_10 with 30s (1) cores 17.85/18.03 # No SInE strategy applied 17.85/18.03 # Search class: HGHSM-FSLM32-MHFFFSBC 17.85/18.03 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 17.85/18.03 # Starting additional_ho_6 with 17s (1) cores 17.85/18.03 # additional_ho_6 with pid 9946 completed with status 7 17.85/18.03 # Starting new_ho_10 with 4s (1) cores 17.85/18.03 # Preprocessing time : 0.005 s 17.85/18.03 # Presaturation interreduction done 17.85/18.03 17.85/18.03 # Proof found! 17.85/18.03 # SZS status Theorem 17.85/18.03 # SZS output start CNFRefutation 17.85/18.03 thf(decl_22, type, fun_upd_nat_nat: (nat > nat) > nat > nat > nat > nat). 17.85/18.03 thf(decl_23, type, minus_minus_nat: nat > nat > nat). 17.85/18.03 thf(decl_24, type, one_one_nat: nat). 17.85/18.03 thf(decl_25, type, zero_zero_nat: nat). 17.85/18.03 thf(decl_26, type, if_nat: $o > nat > nat > nat). 17.85/18.03 thf(decl_27, type, suc: nat > nat). 17.85/18.03 thf(decl_28, type, number1551313001itions: (nat > nat) > nat > $o). 17.85/18.03 thf(decl_29, type, ord_less_nat: nat > nat > $o). 17.85/18.03 thf(decl_30, type, ord_less_eq_nat: nat > nat > $o). 17.85/18.03 thf(decl_31, type, i: nat). 17.85/18.03 thf(decl_32, type, k: nat). 17.85/18.03 thf(decl_33, type, n: nat). 17.85/18.03 thf(decl_34, type, p: nat > nat). 17.85/18.03 thf(decl_35, type, esk1_1: (nat > $o) > nat). 17.85/18.03 thf(decl_36, type, esk2_1: (nat > $o) > nat). 17.85/18.03 thf(decl_37, type, esk3_1: (nat > $o) > nat). 17.85/18.03 thf(decl_38, type, esk4_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_39, type, esk5_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_40, type, esk6_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_41, type, esk7_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_42, type, esk8_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_43, type, esk9_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_44, type, esk10_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_45, type, esk11_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_46, type, esk12_1: nat > nat). 17.85/18.03 thf(decl_47, type, esk13_1: (nat > $o) > nat). 17.85/18.03 thf(decl_48, type, esk14_1: (nat > $o) > nat). 17.85/18.03 thf(decl_49, type, esk15_2: (nat > $o) > nat > nat). 17.85/18.03 thf(decl_50, type, esk16_1: (nat > $o) > nat). 17.85/18.03 thf(decl_51, type, esk17_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_52, type, esk18_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_53, type, esk19_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_54, type, esk20_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_55, type, esk21_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_56, type, esk22_1: (nat > nat) > nat). 17.85/18.03 thf(decl_57, type, esk23_2: (nat > $o) > nat > nat). 17.85/18.03 thf(decl_58, type, esk24_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_59, type, esk25_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_60, type, esk26_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_61, type, esk27_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_62, type, esk28_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_63, type, esk29_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_64, type, esk30_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_65, type, esk31_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_66, type, esk32_1: (nat > nat) > nat). 17.85/18.03 thf(decl_67, type, esk33_1: (nat > nat) > nat). 17.85/18.03 thf(decl_68, type, esk34_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_69, type, esk35_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_70, type, esk36_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_71, type, esk37_1: (nat > nat > $o) > nat). 17.85/18.03 thf(decl_72, type, esk38_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_73, type, esk39_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_74, type, esk40_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_75, type, esk41_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_76, type, esk42_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_77, type, esk43_4: nat > nat > (nat > nat) > nat > nat). 17.85/18.03 thf(decl_78, type, esk44_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_79, type, esk45_4: nat > (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_80, type, esk46_2: (nat > $o) > nat > nat). 17.85/18.03 thf(decl_81, type, esk47_1: (nat > $o) > nat). 17.85/18.03 thf(decl_82, type, esk48_2: nat > (nat > $o) > nat). 17.85/18.03 thf(decl_83, type, esk49_2: nat > (nat > $o) > nat). 17.85/18.03 thf(decl_84, type, esk50_1: nat > nat). 17.85/18.03 thf(decl_85, type, esk51_1: nat > nat). 17.85/18.03 thf(decl_86, type, esk52_1: nat > nat). 17.85/18.03 thf(decl_87, type, esk53_1: nat > nat). 17.85/18.03 thf(decl_88, type, esk54_1: nat > nat). 17.85/18.03 thf(decl_89, type, esk55_3: (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_90, type, esk56_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_91, type, esk57_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.85/18.03 thf(decl_92, type, esk58_3: (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_93, type, esk59_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_94, type, esk60_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.85/18.03 thf(decl_95, type, esk61_1: nat > nat). 17.85/18.03 thf(decl_96, type, esk62_1: nat > nat). 17.85/18.03 thf(decl_97, type, esk63_1: nat > nat). 17.85/18.03 thf(decl_98, type, esk64_1: nat > nat). 17.85/18.03 thf(decl_99, type, esk65_3: (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_100, type, esk66_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_101, type, esk67_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.85/18.03 thf(decl_102, type, esk68_3: (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_103, type, esk69_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_104, type, esk70_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 17.85/18.03 thf(decl_105, type, esk71_1: nat > nat). 17.85/18.03 thf(decl_106, type, esk72_1: nat > nat). 17.85/18.03 thf(decl_107, type, esk73_1: nat > nat). 17.85/18.03 thf(decl_108, type, esk74_3: nat > nat > (nat > $o) > nat). 17.85/18.03 thf(decl_109, type, esk75_4: nat > nat > (nat > $o) > nat > nat). 17.85/18.03 thf(decl_110, type, esk76_3: (nat > nat) > nat > nat > nat). 17.85/18.03 thf(decl_111, type, esk77_5: (nat > nat) > nat > nat > nat > (nat > nat) > nat). 17.85/18.03 thf(decl_112, type, esk78_7: (nat > nat) > nat > nat > nat > nat > nat > (nat > nat) > nat). 17.85/18.03 thf(fact_2_partitions__remove1__bounds, axiom, ![X1:nat > nat, X2:nat, X3:nat, X4:nat]:(((number1551313001itions @ X1 @ X2)=>((ord_less_nat @ zero_zero_nat @ (X1 @ X3))=>(((fun_upd_nat_nat @ X1 @ X3 @ (minus_minus_nat @ (X1 @ X3) @ one_one_nat) @ X4)!=(zero_zero_nat))=>((ord_less_eq_nat @ one_one_nat @ X4)&(ord_less_eq_nat @ X4 @ (minus_minus_nat @ X2 @ X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_2_partitions__remove1__bounds)). 17.85/18.03 thf(conj_0, conjecture, ((ord_less_eq_nat @ one_one_nat @ i)&(ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 17.85/18.03 thf(fact_1_partitions, axiom, (number1551313001itions @ p @ n), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1_partitions)). 17.85/18.03 thf(fact_3__092_060open_062_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_092_060noteq_062_A0_092_060close_062, axiom, ((fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat) @ i)!=(zero_zero_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3__092_060open_062_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_092_060noteq_062_A0_092_060close_062)). 17.85/18.03 thf(fact_0_gr0, axiom, (ord_less_nat @ zero_zero_nat @ (p @ k)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_gr0)). 17.85/18.03 thf(c_0_5, plain, ![X607:nat > nat, X608:nat, X609:nat, X610:nat]:((((ord_less_eq_nat @ one_one_nat @ X610)|((fun_upd_nat_nat @ X607 @ X609 @ (minus_minus_nat @ (X607 @ X609) @ one_one_nat) @ X610)=(zero_zero_nat))|~(ord_less_nat @ zero_zero_nat @ (X607 @ X609))|~(number1551313001itions @ X607 @ X608))&((ord_less_eq_nat @ X610 @ (minus_minus_nat @ X608 @ X609))|((fun_upd_nat_nat @ X607 @ X609 @ (minus_minus_nat @ (X607 @ X609) @ one_one_nat) @ X610)=(zero_zero_nat))|~(ord_less_nat @ zero_zero_nat @ (X607 @ X609))|~(number1551313001itions @ X607 @ X608)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_partitions__remove1__bounds])])])). 17.85/18.03 thf(c_0_6, negated_conjecture, ~(((ord_less_eq_nat @ one_one_nat @ i)&(ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k)))), inference(assume_negation,[status(cth)],[conj_0])). 17.85/18.03 thf(c_0_7, plain, ![X1:nat > nat, X2:nat, X3:nat, X4:nat]:(((ord_less_eq_nat @ one_one_nat @ X2)|((fun_upd_nat_nat @ X1 @ X3 @ (minus_minus_nat @ (X1 @ X3) @ one_one_nat) @ X2)=(zero_zero_nat))|~((ord_less_nat @ zero_zero_nat @ (X1 @ X3)))|~((number1551313001itions @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_5])). 17.85/18.03 thf(c_0_8, plain, (number1551313001itions @ p @ n), inference(split_conjunct,[status(thm)],[fact_1_partitions])). 17.85/18.03 thf(c_0_9, negated_conjecture, (~(ord_less_eq_nat @ one_one_nat @ i)|~(ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k))), inference(fof_nnf,[status(thm)],[c_0_6])). 17.85/18.03 thf(c_0_10, plain, ((fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat) @ i)!=(zero_zero_nat)), inference(split_conjunct,[status(thm)],[fact_3__092_060open_062_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_092_060noteq_062_A0_092_060close_062])). 17.85/18.03 thf(c_0_11, plain, ![X3:nat, X2:nat]:((((fun_upd_nat_nat @ p @ X2 @ (minus_minus_nat @ (p @ X2) @ one_one_nat) @ X3)=(zero_zero_nat))|(ord_less_eq_nat @ one_one_nat @ X3)|~((ord_less_nat @ zero_zero_nat @ (p @ X2))))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 17.85/18.03 thf(c_0_12, plain, (ord_less_nat @ zero_zero_nat @ (p @ k)), inference(split_conjunct,[status(thm)],[fact_0_gr0])). 17.85/18.03 thf(c_0_13, plain, ![X1:nat > nat, X2:nat, X4:nat, X3:nat]:(((ord_less_eq_nat @ X2 @ (minus_minus_nat @ X3 @ X4))|((fun_upd_nat_nat @ X1 @ X4 @ (minus_minus_nat @ (X1 @ X4) @ one_one_nat) @ X2)=(zero_zero_nat))|~((ord_less_nat @ zero_zero_nat @ (X1 @ X4)))|~((number1551313001itions @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_5])). 17.85/18.03 thf(c_0_14, negated_conjecture, (~((ord_less_eq_nat @ one_one_nat @ i))|~((ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k)))), inference(split_conjunct,[status(thm)],[c_0_9])). 17.85/18.03 thf(c_0_15, plain, (ord_less_eq_nat @ one_one_nat @ i), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])])). 17.85/18.03 thf(c_0_16, plain, ![X3:nat, X2:nat]:((((fun_upd_nat_nat @ p @ X2 @ (minus_minus_nat @ (p @ X2) @ one_one_nat) @ X3)=(zero_zero_nat))|(ord_less_eq_nat @ X3 @ (minus_minus_nat @ n @ X2))|~((ord_less_nat @ zero_zero_nat @ (p @ X2))))), inference(spm,[status(thm)],[c_0_13, c_0_8])). 17.85/18.03 thf(c_0_17, negated_conjecture, ~((ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])). 17.85/18.03 thf(c_0_18, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_16]), c_0_12])]), c_0_17]), ['proof']). 17.85/18.03 # SZS output end CNFRefutation 17.85/18.03 # Parsed axioms : 228 17.85/18.03 # Removed by relevancy pruning/SinE : 0 17.85/18.03 # Initial clauses : 535 17.85/18.03 # Removed in clause preprocessing : 28 17.85/18.03 # Initial clauses in saturation : 507 17.85/18.03 # Processed clauses : 2034 17.85/18.03 # ...of these trivial : 81 17.85/18.03 # ...subsumed : 780 17.85/18.03 # ...remaining for further processing : 1173 17.85/18.03 # Other redundant clauses eliminated : 127 17.85/18.03 # Clauses deleted for lack of memory : 0 17.85/18.03 # Backward-subsumed : 19 17.85/18.03 # Backward-rewritten : 24 17.85/18.03 # Generated clauses : 29057 17.85/18.03 # ...of the previous two non-redundant : 26387 17.85/18.03 # ...aggressively subsumed : 0 17.85/18.03 # Contextual simplify-reflections : 19 17.85/18.03 # Paramodulations : 28875 17.85/18.03 # Factorizations : 12 17.85/18.03 # NegExts : 3 17.85/18.03 # Equation resolutions : 133 17.85/18.03 # Propositional unsat checks : 0 17.85/18.03 # Propositional check models : 0 17.85/18.03 # Propositional check unsatisfiable : 0 17.85/18.03 # Propositional clauses : 0 17.85/18.03 # Propositional clauses after purity: 0 17.85/18.03 # Propositional unsat core size : 0 17.85/18.03 # Propositional preprocessing time : 0.000 17.85/18.03 # Propositional encoding time : 0.000 17.85/18.03 # Propositional solver time : 0.000 17.85/18.03 # Success case prop preproc time : 0.000 17.85/18.03 # Success case prop encoding time : 0.000 17.85/18.03 # Success case prop solver time : 0.000 17.85/18.03 # Current number of processed clauses : 784 17.85/18.03 # Positive orientable unit clauses : 91 17.85/18.03 # Positive unorientable unit clauses: 2 17.85/18.03 # Negative unit clauses : 52 17.85/18.03 # Non-unit-clauses : 639 17.85/18.03 # Current number of unprocessed clauses: 25082 17.85/18.03 # ...number of literals in the above : 118816 17.85/18.03 # Current number of archived formulas : 0 17.85/18.03 # Current number of archived clauses : 331 17.85/18.03 # Clause-clause subsumption calls (NU) : 73842 17.85/18.03 # Rec. Clause-clause subsumption calls : 24107 17.85/18.03 # Non-unit clause-clause subsumptions : 560 17.85/18.03 # Unit Clause-clause subsumption calls : 4144 17.85/18.03 # Rewrite failures with RHS unbound : 0 17.85/18.03 # BW rewrite match attempts : 90 17.85/18.03 # BW rewrite match successes : 24 17.85/18.03 # Condensation attempts : 2034 17.85/18.03 # Condensation successes : 62 17.85/18.03 # Termbank termtop insertions : 600365 17.85/18.03 17.85/18.03 # ------------------------------------------------- 17.85/18.03 # User time : 16.938 s 17.85/18.03 # System time : 0.590 s 17.85/18.03 # Total time : 17.529 s 17.85/18.03 # Maximum resident set size: 3728 pages 17.85/18.03 17.85/18.03 # ------------------------------------------------- 17.85/18.03 # User time : 16.945 s 17.85/18.03 # System time : 0.593 s 17.85/18.03 # Total time : 17.538 s 17.85/18.03 # Maximum resident set size: 1892 pages 17.85/18.03 EOF