0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_E %s %d THM 0.10/0.31 % Computer : n013.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 04:12:45 EDT 2022 0.10/0.31 % CPUTime : 0.16/0.45 Running higher-order on 8 cores theorem proving 0.16/0.45 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.45 # Version: 3.0pre003-ho 0.16/0.48 # Preprocessing class: HSLSSMSSSSSNHSA. 0.16/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.48 # Starting full_lambda_9 with 600s (5) cores 0.16/0.48 # Starting new_ho_11 with 120s (1) cores 0.16/0.48 # Starting sh2l with 120s (1) cores 0.16/0.48 # Starting new_bool_6 with 120s (1) cores 0.16/0.48 # new_bool_6 with pid 31526 completed with status 0 0.16/0.48 # Result found by new_bool_6 0.16/0.48 # Preprocessing class: HSLSSMSSSSSNHSA. 0.16/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.48 # Starting full_lambda_9 with 600s (5) cores 0.16/0.48 # Starting new_ho_11 with 120s (1) cores 0.16/0.48 # Starting sh2l with 120s (1) cores 0.16/0.48 # Starting new_bool_6 with 120s (1) cores 0.16/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 0.16/0.48 # ...ProofStateSinE()=37/469 0.16/0.48 # Search class: HGHSS-FFMS31-MHSFFSBN 0.16/0.48 # partial match(2): HGHSS-FFMS21-MSSFFSBN 0.16/0.48 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.48 # Starting new_ho_10 with 44s (1) cores 0.16/0.48 # new_ho_10 with pid 31527 completed with status 0 0.16/0.48 # Result found by new_ho_10 0.16/0.48 # Preprocessing class: HSLSSMSSSSSNHSA. 0.16/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.48 # Starting full_lambda_9 with 600s (5) cores 0.16/0.48 # Starting new_ho_11 with 120s (1) cores 0.16/0.48 # Starting sh2l with 120s (1) cores 0.16/0.48 # Starting new_bool_6 with 120s (1) cores 0.16/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 0.16/0.48 # ...ProofStateSinE()=37/469 0.16/0.48 # Search class: HGHSS-FFMS31-MHSFFSBN 0.16/0.48 # partial match(2): HGHSS-FFMS21-MSSFFSBN 0.16/0.48 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.48 # Starting new_ho_10 with 44s (1) cores 0.16/0.48 # Preprocessing time : 0.004 s 0.16/0.48 # Presaturation interreduction done 0.16/0.48 0.16/0.48 # Proof found! 0.16/0.48 # SZS status Theorem 0.16/0.48 # SZS output start CNFRefutation 0.16/0.48 thf(decl_22, type, inverse_inverse_real: real > real). 0.16/0.48 thf(decl_23, type, bij_betw_nat_int: (nat > int) > set_nat > set_int > $o). 0.16/0.48 thf(decl_24, type, bij_betw_nat_nat: (nat > nat) > set_nat > set_nat > $o). 0.16/0.48 thf(decl_25, type, bij_betw_nat_real: (nat > real) > set_nat > set_real > $o). 0.16/0.48 thf(decl_26, type, bij_betw_nat_a: (nat > a) > set_nat > set_a > $o). 0.16/0.48 thf(decl_27, type, comp_int_int_nat: (int > int) > (nat > int) > nat > int). 0.16/0.48 thf(decl_28, type, comp_int_nat_nat: (int > nat) > (nat > int) > nat > nat). 0.16/0.48 thf(decl_29, type, comp_l728830689st_nat: (list_nat > list_a) > (list_nat > list_nat) > list_nat > list_a). 0.16/0.48 thf(decl_30, type, comp_l1234327363st_nat: (list_a > list_a) > (list_nat > list_a) > list_nat > list_a). 0.16/0.48 thf(decl_31, type, comp_m1386984005et_nat: (multiset_nat > multiset_nat) > (multiset_nat > multiset_nat) > multiset_nat > multiset_nat). 0.16/0.48 thf(decl_32, type, comp_m1844659105et_nat: (multiset_nat > multiset_a) > (multiset_nat > multiset_nat) > multiset_nat > multiset_a). 0.16/0.48 thf(decl_33, type, comp_m346803701et_nat: (multiset_nat > nat) > (multiset_nat > multiset_nat) > multiset_nat > nat). 0.16/0.48 thf(decl_34, type, comp_m1962190563et_nat: (multiset_a > multiset_nat) > (multiset_nat > multiset_a) > multiset_nat > multiset_nat). 0.16/0.48 thf(decl_35, type, comp_m540523139et_nat: (multiset_a > multiset_a) > (multiset_nat > multiset_a) > multiset_nat > multiset_a). 0.16/0.48 thf(decl_36, type, comp_m1512105363et_nat: (multiset_a > nat) > (multiset_nat > multiset_a) > multiset_nat > nat). 0.16/0.48 thf(decl_37, type, comp_nat_int_nat: (nat > int) > (nat > nat) > nat > int). 0.16/0.48 thf(decl_38, type, comp_nat_nat_nat: (nat > nat) > (nat > nat) > nat > nat). 0.16/0.48 thf(decl_39, type, comp_nat_a_nat: (nat > a) > (nat > nat) > nat > a). 0.16/0.48 thf(decl_40, type, comp_a_nat_nat: (a > nat) > (nat > a) > nat > nat). 0.16/0.48 thf(decl_41, type, comp_a_a_nat: (a > a) > (nat > a) > nat > a). 0.16/0.48 thf(decl_42, type, inj_on_int_int: (int > int) > set_int > $o). 0.16/0.48 thf(decl_43, type, inj_on_int_nat: (int > nat) > set_int > $o). 0.16/0.48 thf(decl_44, type, inj_on_nat_int: (nat > int) > set_nat > $o). 0.16/0.48 thf(decl_45, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 0.16/0.48 thf(decl_46, type, inj_on_nat_real: (nat > real) > set_nat > $o). 0.16/0.48 thf(decl_47, type, inj_on_nat_a: (nat > a) > set_nat > $o). 0.16/0.48 thf(decl_48, type, uminus_uminus_int: int > int). 0.16/0.48 thf(decl_49, type, uminus_uminus_real: real > real). 0.16/0.48 thf(decl_50, type, zero_zero_int: int). 0.16/0.48 thf(decl_51, type, zero_z2005226153et_nat: multiset_nat). 0.16/0.48 thf(decl_52, type, zero_zero_multiset_a: multiset_a). 0.16/0.48 thf(decl_53, type, zero_zero_nat: nat). 0.16/0.48 thf(decl_54, type, zero_zero_real: real). 0.16/0.48 thf(decl_55, type, if_int: $o > int > int > int). 0.16/0.48 thf(decl_56, type, if_nat: $o > nat > nat > nat). 0.16/0.48 thf(decl_57, type, if_real: $o > real > real > real). 0.16/0.48 thf(decl_58, type, nat2: int > nat). 0.16/0.48 thf(decl_59, type, ring_1_of_int_int: int > int). 0.16/0.48 thf(decl_60, type, ring_1_of_int_real: int > real). 0.16/0.48 thf(decl_61, type, gen_length_a: nat > list_a > nat). 0.16/0.48 thf(decl_62, type, map_nat_nat: (nat > nat) > list_nat > list_nat). 0.16/0.48 thf(decl_63, type, map_nat_a: (nat > a) > list_nat > list_a). 0.16/0.48 thf(decl_64, type, map_a_nat: (a > nat) > list_a > list_nat). 0.16/0.48 thf(decl_65, type, map_a_a: (a > a) > list_a > list_a). 0.16/0.48 thf(decl_66, type, list_ex_a: (a > $o) > list_a > $o). 0.16/0.48 thf(decl_67, type, map_tailrec_nat_a: (nat > a) > list_nat > list_a). 0.16/0.48 thf(decl_68, type, nth_nat: list_nat > nat > nat). 0.16/0.48 thf(decl_69, type, nth_a: list_a > nat > a). 0.16/0.48 thf(decl_70, type, upt: nat > nat > list_nat). 0.16/0.48 thf(decl_71, type, image_mset_nat_int: (nat > int) > multiset_nat > multiset_int). 0.16/0.48 thf(decl_72, type, image_mset_nat_nat: (nat > nat) > multiset_nat > multiset_nat). 0.16/0.48 thf(decl_73, type, image_mset_nat_a: (nat > a) > multiset_nat > multiset_a). 0.16/0.48 thf(decl_74, type, image_mset_a_nat: (a > nat) > multiset_a > multiset_nat). 0.16/0.48 thf(decl_75, type, image_mset_a_a: (a > a) > multiset_a > multiset_a). 0.16/0.48 thf(decl_76, type, mset_nat: list_nat > multiset_nat). 0.16/0.48 thf(decl_77, type, mset_a: list_a > multiset_a). 0.16/0.48 thf(decl_78, type, mset_set_int: set_int > multiset_int). 0.16/0.48 thf(decl_79, type, mset_set_nat: set_nat > multiset_nat). 0.16/0.48 thf(decl_80, type, mset_set_a: set_a > multiset_a). 0.16/0.48 thf(decl_81, type, size_multiset_nat: (nat > nat) > multiset_nat > nat). 0.16/0.48 thf(decl_82, type, size_multiset_a: (a > nat) > multiset_a > nat). 0.16/0.48 thf(decl_83, type, semiri2019852685at_int: nat > int). 0.16/0.48 thf(decl_84, type, semiri1382578993at_nat: nat > nat). 0.16/0.48 thf(decl_85, type, semiri2110766477t_real: nat > real). 0.16/0.48 thf(decl_86, type, size_size_list_nat: list_nat > nat). 0.16/0.48 thf(decl_87, type, size_size_list_a: list_a > nat). 0.16/0.48 thf(decl_88, type, size_s1679505588et_nat: multiset_nat > nat). 0.16/0.48 thf(decl_89, type, size_size_multiset_a: multiset_a > nat). 0.16/0.48 thf(decl_90, type, ord_less_int: int > int > $o). 0.16/0.48 thf(decl_91, type, ord_less_nat: nat > nat > $o). 0.16/0.48 thf(decl_92, type, ord_less_real: real > real > $o). 0.16/0.48 thf(decl_93, type, ord_less_set_int: set_int > set_int > $o). 0.16/0.48 thf(decl_94, type, ord_less_set_nat: set_nat > set_nat > $o). 0.16/0.48 thf(decl_95, type, ord_less_set_real: set_real > set_real > $o). 0.16/0.48 thf(decl_96, type, ord_less_eq_int: int > int > $o). 0.16/0.48 thf(decl_97, type, ord_less_eq_nat: nat > nat > $o). 0.16/0.48 thf(decl_98, type, ord_less_eq_real: real > real > $o). 0.16/0.48 thf(decl_99, type, ord_less_eq_set_int: set_int > set_int > $o). 0.16/0.48 thf(decl_100, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.16/0.48 thf(decl_101, type, image_int_int: (int > int) > set_int > set_int). 0.16/0.48 thf(decl_102, type, image_int_nat: (int > nat) > set_int > set_nat). 0.16/0.48 thf(decl_103, type, image_nat_int: (nat > int) > set_nat > set_int). 0.16/0.48 thf(decl_104, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.16/0.48 thf(decl_105, type, image_nat_real: (nat > real) > set_nat > set_real). 0.16/0.48 thf(decl_106, type, image_nat_a: (nat > a) > set_nat > set_a). 0.16/0.48 thf(decl_107, type, set_or1199280219an_int: int > int > set_int). 0.16/0.48 thf(decl_108, type, set_or562006527an_nat: nat > nat > set_nat). 0.16/0.48 thf(decl_109, type, set_or2075149659n_real: real > real > set_real). 0.16/0.48 thf(decl_110, type, set_ord_lessThan_int: int > set_int). 0.16/0.48 thf(decl_111, type, set_ord_lessThan_nat: nat > set_nat). 0.16/0.48 thf(decl_112, type, set_or1211449801n_real: real > set_real). 0.16/0.48 thf(decl_113, type, member_int: int > set_int > $o). 0.16/0.48 thf(decl_114, type, member_list_a: list_a > set_list_a > $o). 0.16/0.48 thf(decl_115, type, member_nat: nat > set_nat > $o). 0.16/0.48 thf(decl_116, type, member_real: real > set_real > $o). 0.16/0.48 thf(decl_117, type, f: nat > nat). 0.16/0.48 thf(decl_118, type, xs: list_a). 0.16/0.48 thf(decl_119, type, ys: list_a). 0.16/0.48 thf(decl_120, type, esk1_2: nat > (nat > $o) > nat). 0.16/0.48 thf(decl_121, type, esk2_2: nat > (nat > $o) > nat). 0.16/0.48 thf(decl_122, type, esk3_2: nat > (nat > $o) > nat). 0.16/0.48 thf(decl_123, type, esk4_2: nat > (nat > $o) > nat). 0.16/0.48 thf(decl_124, type, esk5_1: nat > list_a). 0.16/0.48 thf(decl_125, type, esk6_1: (list_a > $o) > list_a). 0.16/0.48 thf(decl_126, type, esk7_1: (nat > $o) > nat). 0.16/0.48 thf(decl_127, type, esk8_2: list_a > list_a > nat). 0.16/0.48 thf(decl_128, type, esk9_2: list_a > list_a > nat). 0.16/0.48 thf(decl_129, type, esk10_2: nat > (nat > a > $o) > nat). 0.16/0.48 thf(decl_130, type, esk11_2: nat > (nat > a > $o) > list_a). 0.16/0.48 thf(decl_131, type, esk12_3: nat > (nat > a > $o) > list_a > nat). 0.16/0.48 thf(decl_132, type, esk13_3: nat > (nat > a > $o) > nat > a). 0.16/0.48 thf(fact_71_image__mset__mset__set, axiom, ![X1:nat > nat, X2:set_nat]:(((inj_on_nat_nat @ X1 @ X2)=>((image_mset_nat_nat @ X1 @ (mset_set_nat @ X2))=(mset_set_nat @ (image_nat_nat @ X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_71_image__mset__mset__set)). 0.16/0.48 thf(conj_0, conjecture, ((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))=(image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.16/0.48 thf(fact_3__C2_C, axiom, ((image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))=(set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3__C2_C)). 0.16/0.48 thf(fact_0__C1_C, axiom, (inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__C1_C)). 0.16/0.48 thf(fact_1_calculation, axiom, ((mset_a @ xs)=(image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_calculation)). 0.16/0.48 thf(c_0_5, plain, ![X455:nat > nat, X456:set_nat]:((~(inj_on_nat_nat @ X455 @ X456)|((image_mset_nat_nat @ X455 @ (mset_set_nat @ X456))=(mset_set_nat @ (image_nat_nat @ X455 @ X456))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_71_image__mset__mset__set])])). 0.16/0.48 thf(c_0_6, negated_conjecture, ((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))!=(image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.16/0.48 thf(c_0_7, plain, ![X1:nat > nat, X2:set_nat]:((((image_mset_nat_nat @ X1 @ (mset_set_nat @ X2))=(mset_set_nat @ (image_nat_nat @ X1 @ X2)))|~((inj_on_nat_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.16/0.48 thf(c_0_8, plain, ((image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))=(set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))), inference(split_conjunct,[status(thm)],[fact_3__C2_C])). 0.16/0.48 thf(c_0_9, plain, (inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))), inference(split_conjunct,[status(thm)],[fact_0__C1_C])). 0.16/0.48 thf(c_0_10, negated_conjecture, ((image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))!=(image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.16/0.48 thf(c_0_11, plain, ((mset_a @ xs)=(image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))), inference(split_conjunct,[status(thm)],[fact_1_calculation])). 0.16/0.48 thf(c_0_12, plain, ((image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))=(mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9])])). 0.16/0.48 thf(c_0_13, negated_conjecture, ((image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))))!=(mset_a @ xs)), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.16/0.48 thf(c_0_14, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12]), c_0_13]), ['proof']). 0.16/0.48 # SZS output end CNFRefutation 0.16/0.48 # Parsed axioms : 469 0.16/0.48 # Removed by relevancy pruning/SinE : 432 0.16/0.48 # Initial clauses : 63 0.16/0.48 # Removed in clause preprocessing : 7 0.16/0.48 # Initial clauses in saturation : 56 0.16/0.48 # Processed clauses : 82 0.16/0.48 # ...of these trivial : 1 0.16/0.48 # ...subsumed : 19 0.16/0.48 # ...remaining for further processing : 62 0.16/0.48 # Other redundant clauses eliminated : 9 0.16/0.48 # Clauses deleted for lack of memory : 0 0.16/0.48 # Backward-subsumed : 1 0.16/0.48 # Backward-rewritten : 2 0.16/0.48 # Generated clauses : 12 0.16/0.48 # ...of the previous two non-redundant : 12 0.16/0.48 # ...aggressively subsumed : 0 0.16/0.48 # Contextual simplify-reflections : 0 0.16/0.48 # Paramodulations : 2 0.16/0.48 # Factorizations : 0 0.16/0.48 # NegExts : 0 0.16/0.48 # Equation resolutions : 10 0.16/0.48 # Propositional unsat checks : 0 0.16/0.48 # Propositional check models : 0 0.16/0.48 # Propositional check unsatisfiable : 0 0.16/0.48 # Propositional clauses : 0 0.16/0.48 # Propositional clauses after purity: 0 0.16/0.48 # Propositional unsat core size : 0 0.16/0.48 # Propositional preprocessing time : 0.000 0.16/0.48 # Propositional encoding time : 0.000 0.16/0.48 # Propositional solver time : 0.000 0.16/0.48 # Success case prop preproc time : 0.000 0.16/0.48 # Success case prop encoding time : 0.000 0.16/0.48 # Success case prop solver time : 0.000 0.16/0.48 # Current number of processed clauses : 15 0.16/0.48 # Positive orientable unit clauses : 5 0.16/0.48 # Positive unorientable unit clauses: 0 0.16/0.48 # Negative unit clauses : 2 0.16/0.48 # Non-unit-clauses : 8 0.16/0.48 # Current number of unprocessed clauses: 21 0.16/0.48 # ...number of literals in the above : 64 0.16/0.48 # Current number of archived formulas : 0 0.16/0.48 # Current number of archived clauses : 38 0.16/0.48 # Clause-clause subsumption calls (NU) : 172 0.16/0.48 # Rec. Clause-clause subsumption calls : 132 0.16/0.48 # Non-unit clause-clause subsumptions : 8 0.16/0.48 # Unit Clause-clause subsumption calls : 3 0.16/0.48 # Rewrite failures with RHS unbound : 0 0.16/0.48 # BW rewrite match attempts : 2 0.16/0.48 # BW rewrite match successes : 2 0.16/0.48 # Condensation attempts : 82 0.16/0.48 # Condensation successes : 0 0.16/0.48 # Termbank termtop insertions : 8947 0.16/0.48 0.16/0.48 # ------------------------------------------------- 0.16/0.48 # User time : 0.012 s 0.16/0.48 # System time : 0.003 s 0.16/0.48 # Total time : 0.014 s 0.16/0.48 # Maximum resident set size: 2876 pages 0.16/0.48 0.16/0.48 # ------------------------------------------------- 0.16/0.48 # User time : 0.023 s 0.16/0.48 # System time : 0.006 s 0.16/0.48 # Total time : 0.028 s 0.16/0.48 # Maximum resident set size: 2456 pages 0.16/0.48 EOF