0.11/0.11 % Problem : SLH614^1 : TPTP v7.5.0. Released v7.5.0. 0.11/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n010.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 30 0.12/0.34 % WCLimit : 30 0.12/0.34 % DateTime : Tue Aug 9 03:11:05 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.46 The problem SPC is TH0_THM_EQU_NAR 0.19/0.46 Running higher-order on 1 cores theorem proving 0.19/0.46 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 0.19/0.46 # Version: 3.0pre003-ho 0.62/0.85 # Preprocessing class: HSLSSMSSSSSNHFA. 0.62/0.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.62/0.85 # Starting new_ho_10 with 30s (1) cores 0.62/0.85 # new_ho_10 with pid 12592 completed with status 0 0.62/0.85 # Result found by new_ho_10 0.62/0.85 # Preprocessing class: HSLSSMSSSSSNHFA. 0.62/0.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.62/0.85 # Starting new_ho_10 with 30s (1) cores 0.62/0.85 # No SInE strategy applied 0.62/0.85 # Search class: HGHSM-FSLM32-MHFFFSBC 0.62/0.85 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.62/0.85 # Starting additional_ho_6 with 17s (1) cores 0.62/0.85 # additional_ho_6 with pid 12593 completed with status 0 0.62/0.85 # Result found by additional_ho_6 0.62/0.85 # Preprocessing class: HSLSSMSSSSSNHFA. 0.62/0.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.62/0.85 # Starting new_ho_10 with 30s (1) cores 0.62/0.85 # No SInE strategy applied 0.62/0.85 # Search class: HGHSM-FSLM32-MHFFFSBC 0.62/0.85 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.62/0.85 # Starting additional_ho_6 with 17s (1) cores 0.62/0.85 # Preprocessing time : 0.011 s 0.62/0.85 # Presaturation interreduction done 0.62/0.85 0.62/0.85 # Proof found! 0.62/0.85 # SZS status Theorem 0.62/0.85 # SZS output start CNFRefutation 0.62/0.85 thf(decl_22, type, fun_upd_nat_nat: (nat > nat) > nat > nat > nat > nat). 0.62/0.85 thf(decl_23, type, minus_minus_nat: nat > nat > nat). 0.62/0.85 thf(decl_24, type, one_one_nat: nat). 0.62/0.85 thf(decl_25, type, zero_zero_nat: nat). 0.62/0.85 thf(decl_26, type, if_nat: $o > nat > nat > nat). 0.62/0.85 thf(decl_27, type, suc: nat > nat). 0.62/0.85 thf(decl_28, type, number1551313001itions: (nat > nat) > nat > $o). 0.62/0.85 thf(decl_29, type, ord_less_nat: nat > nat > $o). 0.62/0.85 thf(decl_30, type, ord_less_eq_nat: nat > nat > $o). 0.62/0.85 thf(decl_31, type, i: nat). 0.62/0.85 thf(decl_32, type, k: nat). 0.62/0.85 thf(decl_33, type, n: nat). 0.62/0.85 thf(decl_34, type, p: nat > nat). 0.62/0.85 thf(decl_35, type, esk1_1: (nat > $o) > nat). 0.62/0.85 thf(decl_36, type, esk2_1: (nat > $o) > nat). 0.62/0.85 thf(decl_37, type, esk3_1: (nat > $o) > nat). 0.62/0.85 thf(decl_38, type, esk4_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_39, type, esk5_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_40, type, esk6_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_41, type, esk7_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_42, type, esk8_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_43, type, esk9_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_44, type, esk10_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_45, type, esk11_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_46, type, esk12_1: nat > nat). 0.62/0.85 thf(decl_47, type, esk13_1: (nat > $o) > nat). 0.62/0.85 thf(decl_48, type, esk14_1: (nat > $o) > nat). 0.62/0.85 thf(decl_49, type, esk15_2: (nat > $o) > nat > nat). 0.62/0.85 thf(decl_50, type, esk16_1: (nat > $o) > nat). 0.62/0.85 thf(decl_51, type, esk17_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_52, type, esk18_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_53, type, esk19_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_54, type, esk20_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_55, type, esk21_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_56, type, esk22_1: (nat > nat) > nat). 0.62/0.85 thf(decl_57, type, esk23_2: (nat > $o) > nat > nat). 0.62/0.85 thf(decl_58, type, esk24_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_59, type, esk25_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_60, type, esk26_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_61, type, esk27_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_62, type, esk28_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_63, type, esk29_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_64, type, esk30_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_65, type, esk31_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_66, type, esk32_1: (nat > nat) > nat). 0.62/0.85 thf(decl_67, type, esk33_1: (nat > nat) > nat). 0.62/0.85 thf(decl_68, type, esk34_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_69, type, esk35_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_70, type, esk36_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_71, type, esk37_1: (nat > nat > $o) > nat). 0.62/0.85 thf(decl_72, type, esk38_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_73, type, esk39_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_74, type, esk40_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_75, type, esk41_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_76, type, esk42_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_77, type, esk43_4: nat > nat > (nat > nat) > nat > nat). 0.62/0.85 thf(decl_78, type, esk44_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_79, type, esk45_4: nat > (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_80, type, esk46_2: (nat > $o) > nat > nat). 0.62/0.85 thf(decl_81, type, esk47_1: (nat > $o) > nat). 0.62/0.85 thf(decl_82, type, esk48_2: nat > (nat > $o) > nat). 0.62/0.85 thf(decl_83, type, esk49_2: nat > (nat > $o) > nat). 0.62/0.85 thf(decl_84, type, esk50_1: nat > nat). 0.62/0.85 thf(decl_85, type, esk51_1: nat > nat). 0.62/0.85 thf(decl_86, type, esk52_1: nat > nat). 0.62/0.85 thf(decl_87, type, esk53_1: nat > nat). 0.62/0.85 thf(decl_88, type, esk54_1: nat > nat). 0.62/0.85 thf(decl_89, type, esk55_3: (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_90, type, esk56_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_91, type, esk57_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.62/0.85 thf(decl_92, type, esk58_3: (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_93, type, esk59_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_94, type, esk60_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.62/0.85 thf(decl_95, type, esk61_1: nat > nat). 0.62/0.85 thf(decl_96, type, esk62_1: nat > nat). 0.62/0.85 thf(decl_97, type, esk63_1: nat > nat). 0.62/0.85 thf(decl_98, type, esk64_1: nat > nat). 0.62/0.85 thf(decl_99, type, esk65_3: (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_100, type, esk66_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_101, type, esk67_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.62/0.85 thf(decl_102, type, esk68_3: (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_103, type, esk69_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_104, type, esk70_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.62/0.85 thf(decl_105, type, esk71_1: nat > nat). 0.62/0.85 thf(decl_106, type, esk72_1: nat > nat). 0.62/0.85 thf(decl_107, type, esk73_1: nat > nat). 0.62/0.85 thf(decl_108, type, esk74_3: nat > nat > (nat > $o) > nat). 0.62/0.85 thf(decl_109, type, esk75_4: nat > nat > (nat > $o) > nat > nat). 0.62/0.85 thf(decl_110, type, esk76_3: (nat > nat) > nat > nat > nat). 0.62/0.85 thf(decl_111, type, esk77_5: (nat > nat) > (nat > nat) > nat > nat > nat > nat). 0.62/0.85 thf(fact_19_cancel__comm__monoid__add__class_Odiff__cancel, axiom, ![X9:nat]:(((minus_minus_nat @ X9 @ X9)=(zero_zero_nat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_19_cancel__comm__monoid__add__class_Odiff__cancel)). 0.62/0.85 thf(fact_102_not__le__imp__less, axiom, ![X2:nat, X1:nat]:((~((ord_less_eq_nat @ X2 @ X1))=>(ord_less_nat @ X1 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_102_not__le__imp__less)). 0.62/0.85 thf(fact_7_neq, 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_7_neq)). 0.62/0.85 thf(fact_1__092_060open_062p_Ak_A_061_A1_092_060close_062, axiom, ((p @ k)=(one_one_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1__092_060open_062p_Ak_A_061_A1_092_060close_062)). 0.62/0.85 thf(fact_179_fun__upd__other, axiom, ![X21:nat, X1:nat, X17:nat > nat, X2:nat]:((((X21)!=(X1))=>((fun_upd_nat_nat @ X17 @ X1 @ X2 @ X21)=(X17 @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_179_fun__upd__other)). 0.62/0.85 thf(fact_3__092_060open_062_092_060forall_062i_O_An_A_N_Ak_A_060_Ai_A_092_060and_062_Ai_A_092_060noteq_062_Ak_A_092_060longrightarrow_062_Ap_Ai_A_061_A0_092_060close_062, axiom, ![X3:nat]:((((ord_less_nat @ (minus_minus_nat @ n @ k) @ X3)&((X3)!=(k)))=>((p @ X3)=(zero_zero_nat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3__092_060open_062_092_060forall_062i_O_An_A_N_Ak_A_060_Ai_A_092_060and_062_Ai_A_092_060noteq_062_Ak_A_092_060longrightarrow_062_Ap_Ai_A_061_A0_092_060close_062)). 0.62/0.85 thf(conj_0, conjecture, (ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.62/0.85 thf(fact_180_fun__upd__same, axiom, ![X17:nat > nat, X1:nat, X2:nat]:(((fun_upd_nat_nat @ X17 @ X1 @ X2 @ X1)=(X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_180_fun__upd__same)). 0.62/0.85 thf(c_0_8, plain, ![X624:nat]:(((minus_minus_nat @ X624 @ X624)=(zero_zero_nat))), inference(variable_rename,[status(thm)],[fact_19_cancel__comm__monoid__add__class_Odiff__cancel])). 0.62/0.85 thf(c_0_9, plain, ![X2:nat, X1:nat]:((~(ord_less_eq_nat @ X2 @ X1)=>(ord_less_nat @ X1 @ X2))), inference(fof_simplification,[status(thm)],[fact_102_not__le__imp__less])). 0.62/0.85 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_7_neq])). 0.62/0.85 thf(c_0_11, plain, ((p @ k)=(one_one_nat)), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062p_Ak_A_061_A1_092_060close_062])). 0.62/0.85 thf(c_0_12, plain, ![X1:nat]:(((minus_minus_nat @ X1 @ X1)=(zero_zero_nat))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.62/0.85 thf(c_0_13, plain, ![X1021:nat, X1022:nat, X1023:nat > nat, X1024:nat]:((((X1021)=(X1022))|((fun_upd_nat_nat @ X1023 @ X1022 @ X1024 @ X1021)=(X1023 @ X1021)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_179_fun__upd__other])])). 0.62/0.85 thf(c_0_14, plain, ![X598:nat]:((~(ord_less_nat @ (minus_minus_nat @ n @ k) @ X598)|((X598)=(k))|((p @ X598)=(zero_zero_nat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3__092_060open_062_092_060forall_062i_O_An_A_N_Ak_A_060_Ai_A_092_060and_062_Ai_A_092_060noteq_062_Ak_A_092_060longrightarrow_062_Ap_Ai_A_061_A0_092_060close_062])])). 0.62/0.85 thf(c_0_15, plain, ![X817:nat, X818:nat]:(((ord_less_eq_nat @ X817 @ X818)|(ord_less_nat @ X818 @ X817))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 0.62/0.85 thf(c_0_16, plain, ((fun_upd_nat_nat @ p @ k @ zero_zero_nat @ i)!=(zero_zero_nat)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 0.62/0.85 thf(c_0_17, plain, ![X3:nat, X17:nat > nat, X2:nat, X1:nat]:((((X1)=(X2))|((fun_upd_nat_nat @ X17 @ X2 @ X3 @ X1)=(X17 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.62/0.85 thf(c_0_18, plain, ![X1:nat]:((((X1)=(k))|((p @ X1)=(zero_zero_nat))|~((ord_less_nat @ (minus_minus_nat @ n @ k) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.62/0.85 thf(c_0_19, plain, ![X2:nat, X1:nat]:(((ord_less_eq_nat @ X1 @ X2)|(ord_less_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.62/0.85 thf(c_0_20, negated_conjecture, ~(ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.62/0.85 thf(c_0_21, plain, (((i)=(k))|((p @ i)!=(zero_zero_nat))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.62/0.85 thf(c_0_22, plain, ![X1:nat]:((((p @ X1)=(zero_zero_nat))|((X1)=(k))|(ord_less_eq_nat @ X1 @ (minus_minus_nat @ n @ k)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.62/0.85 thf(c_0_23, negated_conjecture, ~((ord_less_eq_nat @ i @ (minus_minus_nat @ n @ k))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.62/0.85 thf(c_0_24, plain, ![X1025:nat > nat, X1026:nat, X1027:nat]:(((fun_upd_nat_nat @ X1025 @ X1026 @ X1027 @ X1026)=(X1027))), inference(variable_rename,[status(thm)],[fact_180_fun__upd__same])). 0.62/0.85 thf(c_0_25, plain, ((i)=(k)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])). 0.62/0.85 thf(c_0_26, plain, ![X1:nat, X17:nat > nat, X2:nat]:(((fun_upd_nat_nat @ X17 @ X1 @ X2 @ X1)=(X2))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.62/0.85 thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_25]), c_0_26])]), ['proof']). 0.62/0.85 # SZS output end CNFRefutation 0.62/0.85 # Parsed axioms : 229 0.62/0.85 # Removed by relevancy pruning/SinE : 0 0.62/0.85 # Initial clauses : 533 0.62/0.85 # Removed in clause preprocessing : 26 0.62/0.85 # Initial clauses in saturation : 507 0.62/0.85 # Processed clauses : 2453 0.62/0.85 # ...of these trivial : 136 0.62/0.85 # ...subsumed : 1089 0.62/0.85 # ...remaining for further processing : 1228 0.62/0.85 # Other redundant clauses eliminated : 66 0.62/0.85 # Clauses deleted for lack of memory : 0 0.62/0.85 # Backward-subsumed : 14 0.62/0.85 # Backward-rewritten : 35 0.62/0.85 # Generated clauses : 15895 0.62/0.85 # ...of the previous two non-redundant : 13997 0.62/0.85 # ...aggressively subsumed : 0 0.62/0.85 # Contextual simplify-reflections : 2 0.62/0.85 # Paramodulations : 15788 0.62/0.85 # Factorizations : 8 0.62/0.85 # NegExts : 2 0.62/0.85 # Equation resolutions : 68 0.62/0.85 # Propositional unsat checks : 0 0.62/0.85 # Propositional check models : 0 0.62/0.85 # Propositional check unsatisfiable : 0 0.62/0.85 # Propositional clauses : 0 0.62/0.85 # Propositional clauses after purity: 0 0.62/0.85 # Propositional unsat core size : 0 0.62/0.85 # Propositional preprocessing time : 0.000 0.62/0.85 # Propositional encoding time : 0.000 0.62/0.85 # Propositional solver time : 0.000 0.62/0.85 # Success case prop preproc time : 0.000 0.62/0.85 # Success case prop encoding time : 0.000 0.62/0.85 # Success case prop solver time : 0.000 0.62/0.85 # Current number of processed clauses : 833 0.62/0.85 # Positive orientable unit clauses : 203 0.62/0.85 # Positive unorientable unit clauses: 2 0.62/0.85 # Negative unit clauses : 200 0.62/0.85 # Non-unit-clauses : 428 0.62/0.85 # Current number of unprocessed clauses: 12274 0.62/0.85 # ...number of literals in the above : 42641 0.62/0.85 # Current number of archived formulas : 0 0.62/0.85 # Current number of archived clauses : 337 0.62/0.85 # Clause-clause subsumption calls (NU) : 44063 0.62/0.85 # Rec. Clause-clause subsumption calls : 10256 0.62/0.85 # Non-unit clause-clause subsumptions : 372 0.62/0.85 # Unit Clause-clause subsumption calls : 12480 0.62/0.85 # Rewrite failures with RHS unbound : 0 0.62/0.85 # BW rewrite match attempts : 120 0.62/0.85 # BW rewrite match successes : 20 0.62/0.85 # Condensation attempts : 0 0.62/0.85 # Condensation successes : 0 0.62/0.85 # Termbank termtop insertions : 304789 0.62/0.85 0.62/0.85 # ------------------------------------------------- 0.62/0.85 # User time : 0.367 s 0.62/0.85 # System time : 0.012 s 0.62/0.85 # Total time : 0.379 s 0.62/0.85 # Maximum resident set size: 3568 pages 0.62/0.85 0.62/0.85 # ------------------------------------------------- 0.62/0.85 # User time : 0.372 s 0.62/0.85 # System time : 0.016 s 0.62/0.85 # Total time : 0.387 s 0.62/0.85 # Maximum resident set size: 1884 pages 0.62/0.85 EOF