0.07/0.12 % Problem : SLH127^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.13 % Command : run_E %s %d THM 0.15/0.35 % Computer : n015.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 30 0.15/0.35 % WCLimit : 30 0.15/0.35 % DateTime : Tue Aug 9 02:39:26 EDT 2022 0.15/0.35 % CPUTime : 0.21/0.47 The problem SPC is TH0_THM_EQU_NAR 0.21/0.47 Running higher-order on 1 cores theorem proving 0.21/0.47 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 0.21/0.47 # Version: 3.0pre003-ho 0.35/0.56 # Preprocessing class: HSLSSMSMSSSNSFA. 0.35/0.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.56 # Starting new_ho_10 with 30s (1) cores 0.35/0.56 # new_ho_10 with pid 3583 completed with status 0 0.35/0.56 # Result found by new_ho_10 0.35/0.56 # Preprocessing class: HSLSSMSMSSSNSFA. 0.35/0.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.56 # Starting new_ho_10 with 30s (1) cores 0.35/0.56 # No SInE strategy applied 0.35/0.56 # Search class: HGUSM-FSLM31-DSFFFFBN 0.35/0.56 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.35/0.56 # Starting new_ho_10 with 19s (1) cores 0.35/0.56 # new_ho_10 with pid 3584 completed with status 0 0.35/0.56 # Result found by new_ho_10 0.35/0.56 # Preprocessing class: HSLSSMSMSSSNSFA. 0.35/0.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.56 # Starting new_ho_10 with 30s (1) cores 0.35/0.56 # No SInE strategy applied 0.35/0.56 # Search class: HGUSM-FSLM31-DSFFFFBN 0.35/0.56 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.35/0.56 # Starting new_ho_10 with 19s (1) cores 0.35/0.56 # Preprocessing time : 0.006 s 0.35/0.56 # Presaturation interreduction done 0.35/0.56 0.35/0.56 # Proof found! 0.35/0.56 # SZS status Theorem 0.35/0.56 # SZS output start CNFRefutation 0.35/0.56 thf(decl_22, type, partia1066395285xt_a_b: partia1833973666xt_a_b > set_a). 0.35/0.56 thf(decl_23, type, mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a). 0.35/0.56 thf(decl_24, type, minus_minus_int: int > int > int). 0.35/0.56 thf(decl_25, type, minus_minus_nat: nat > nat > nat). 0.35/0.56 thf(decl_26, type, plus_plus_int: int > int > int). 0.35/0.56 thf(decl_27, type, plus_plus_nat: nat > nat > nat). 0.35/0.56 thf(decl_28, type, uminus_uminus_int: int > int). 0.35/0.56 thf(decl_29, type, locali1648887798ac_a_b: partia1833973666xt_a_b > set_a > $o). 0.35/0.56 thf(decl_30, type, locali807230110ng_a_b: partia1833973666xt_a_b > set_a > $o). 0.35/0.56 thf(decl_31, type, locali880295127ng_a_b: partia1833973666xt_a_b > set_a > $o). 0.35/0.56 thf(decl_32, type, locali425460998xt_a_b: partia1833973666xt_a_b > set_a > $o). 0.35/0.56 thf(decl_33, type, suc: nat > nat). 0.35/0.56 thf(decl_34, type, semiri2019852685at_int: nat > int). 0.35/0.56 thf(decl_35, type, semiri1382578993at_nat: nat > nat). 0.35/0.56 thf(decl_36, type, ord_less_eq_int: int > int > $o). 0.35/0.56 thf(decl_37, type, ord_less_eq_nat: nat > nat > $o). 0.35/0.56 thf(decl_38, type, ord_less_eq_set_a: set_a > set_a > $o). 0.35/0.56 thf(decl_39, type, product_fst_a_a: product_prod_a_a > a). 0.35/0.56 thf(decl_40, type, product_snd_a_a: product_prod_a_a > a). 0.35/0.56 thf(decl_41, type, a_inv_a_b: partia1833973666xt_a_b > a > a). 0.35/0.56 thf(decl_42, type, a_minus_a_b: partia1833973666xt_a_b > a > a > a). 0.35/0.56 thf(decl_43, type, add_pow_a_b_int: partia1833973666xt_a_b > int > a > a). 0.35/0.56 thf(decl_44, type, add_pow_a_b_nat: partia1833973666xt_a_b > nat > a > a). 0.35/0.56 thf(decl_45, type, add_a_b: partia1833973666xt_a_b > a > a > a). 0.35/0.56 thf(decl_46, type, zero_a_b: partia1833973666xt_a_b > a). 0.35/0.56 thf(decl_47, type, semiring_a_b: partia1833973666xt_a_b > $o). 0.35/0.56 thf(decl_48, type, collect_a: (a > $o) > set_a). 0.35/0.56 thf(decl_49, type, member_a: a > set_a > $o). 0.35/0.56 thf(decl_50, type, r: partia1833973666xt_a_b). 0.35/0.56 thf(decl_51, type, s: set_a). 0.35/0.56 thf(decl_52, type, r2: a). 0.35/0.56 thf(decl_53, type, r3: a). 0.35/0.56 thf(decl_54, type, s2: a). 0.35/0.56 thf(decl_55, type, s3: a). 0.35/0.56 thf(decl_56, type, t: a). 0.35/0.56 thf(decl_57, type, t2: a). 0.35/0.56 thf(decl_58, type, x: product_prod_a_a). 0.35/0.56 thf(decl_59, type, y: product_prod_a_a). 0.35/0.56 thf(decl_60, type, esk1_2: (a > $o) > (a > $o) > a). 0.35/0.56 thf(decl_61, type, esk2_1: a > a). 0.35/0.56 thf(decl_62, type, esk3_1: a > a). 0.35/0.56 thf(decl_63, type, esk4_1: a > a). 0.35/0.56 thf(decl_64, type, esk5_0: a). 0.35/0.56 thf(decl_65, type, esk6_0: a). 0.35/0.56 thf(decl_66, type, esk7_2: (nat > $o) > nat > nat). 0.35/0.56 thf(decl_67, type, esk8_2: nat > nat > nat). 0.35/0.56 thf(decl_68, type, esk9_2: nat > nat > nat). 0.35/0.56 thf(decl_69, type, esk10_1: (nat > int) > nat). 0.35/0.56 thf(decl_70, type, esk11_1: (nat > nat) > nat). 0.35/0.56 thf(decl_71, type, esk12_1: (nat > set_a) > nat). 0.35/0.56 thf(decl_72, type, esk13_1: (nat > int) > nat). 0.35/0.56 thf(decl_73, type, esk14_1: (nat > nat) > nat). 0.35/0.56 thf(decl_74, type, esk15_1: (nat > set_a) > nat). 0.35/0.56 thf(decl_75, type, epred1_1: set_a > a > $o). 0.35/0.56 thf(conj_0, conjecture, ((a_inv_a_b @ r @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y)))))=(a_minus_a_b @ r @ (a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.35/0.56 thf(fact_35_f35, axiom, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))=(add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_35_f35)). 0.35/0.56 thf(fact_0_inv__add, axiom, ![X1:a, X2:a]:(((member_a @ X1 @ (partia1066395285xt_a_b @ r))=>((member_a @ X2 @ (partia1066395285xt_a_b @ r))=>((a_inv_a_b @ r @ (add_a_b @ r @ X1 @ X2))=(a_minus_a_b @ r @ (a_inv_a_b @ r @ X1) @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_inv__add)). 0.35/0.56 thf(fact_10_f45, axiom, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))) @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_10_f45)). 0.35/0.56 thf(fact_9_f44, axiom, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (partia1066395285xt_a_b @ r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_9_f44)). 0.35/0.56 thf(c_0_5, negated_conjecture, ((a_inv_a_b @ r @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y)))))!=(a_minus_a_b @ r @ (a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.35/0.56 thf(c_0_6, negated_conjecture, ((a_inv_a_b @ r @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y)))))!=(a_minus_a_b @ r @ (a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.35/0.56 thf(c_0_7, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))=(add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))), inference(split_conjunct,[status(thm)],[fact_35_f35])). 0.35/0.56 thf(c_0_8, plain, ![X957:a, X958:a]:((~(member_a @ X957 @ (partia1066395285xt_a_b @ r))|(~(member_a @ X958 @ (partia1066395285xt_a_b @ r))|((a_inv_a_b @ r @ (add_a_b @ r @ X957 @ X958))=(a_minus_a_b @ r @ (a_inv_a_b @ r @ X957) @ X958))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_inv__add])])). 0.35/0.56 thf(c_0_9, negated_conjecture, ((a_minus_a_b @ r @ (a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))))!=(a_inv_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x)) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y)))))), inference(rw,[status(thm)],[c_0_6, c_0_7])). 0.35/0.56 thf(c_0_10, plain, ![X1:a, X2:a]:((((a_inv_a_b @ r @ (add_a_b @ r @ X1 @ X2))=(a_minus_a_b @ r @ (a_inv_a_b @ r @ X1) @ X2))|~((member_a @ X1 @ (partia1066395285xt_a_b @ r)))|~((member_a @ X2 @ (partia1066395285xt_a_b @ r))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.35/0.56 thf(c_0_11, plain, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ x) @ (product_fst_a_a @ y))) @ (partia1066395285xt_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_10_f45])). 0.35/0.56 thf(c_0_12, plain, (member_a @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ (product_snd_a_a @ y) @ (product_fst_a_a @ x))) @ (partia1066395285xt_a_b @ r)), inference(split_conjunct,[status(thm)],[fact_9_f44])). 0.35/0.56 thf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_7]), c_0_11]), c_0_12])]), ['proof']). 0.35/0.56 # SZS output end CNFRefutation 0.35/0.56 # Parsed axioms : 336 0.35/0.56 # Removed by relevancy pruning/SinE : 0 0.35/0.56 # Initial clauses : 386 0.35/0.56 # Removed in clause preprocessing : 61 0.35/0.56 # Initial clauses in saturation : 325 0.35/0.56 # Processed clauses : 486 0.35/0.56 # ...of these trivial : 16 0.35/0.56 # ...subsumed : 63 0.35/0.56 # ...remaining for further processing : 407 0.35/0.56 # Other redundant clauses eliminated : 50 0.35/0.56 # Clauses deleted for lack of memory : 0 0.35/0.56 # Backward-subsumed : 0 0.35/0.56 # Backward-rewritten : 11 0.35/0.56 # Generated clauses : 266 0.35/0.56 # ...of the previous two non-redundant : 184 0.35/0.56 # ...aggressively subsumed : 0 0.35/0.56 # Contextual simplify-reflections : 3 0.35/0.56 # Paramodulations : 208 0.35/0.56 # Factorizations : 0 0.35/0.56 # NegExts : 0 0.35/0.56 # Equation resolutions : 58 0.35/0.56 # Propositional unsat checks : 0 0.35/0.56 # Propositional check models : 0 0.35/0.56 # Propositional check unsatisfiable : 0 0.35/0.56 # Propositional clauses : 0 0.35/0.56 # Propositional clauses after purity: 0 0.35/0.56 # Propositional unsat core size : 0 0.35/0.56 # Propositional preprocessing time : 0.000 0.35/0.56 # Propositional encoding time : 0.000 0.35/0.56 # Propositional solver time : 0.000 0.35/0.56 # Success case prop preproc time : 0.000 0.35/0.56 # Success case prop encoding time : 0.000 0.35/0.56 # Success case prop solver time : 0.000 0.35/0.56 # Current number of processed clauses : 123 0.35/0.56 # Positive orientable unit clauses : 73 0.35/0.56 # Positive unorientable unit clauses: 2 0.35/0.56 # Negative unit clauses : 4 0.35/0.56 # Non-unit-clauses : 44 0.35/0.56 # Current number of unprocessed clauses: 257 0.35/0.56 # ...number of literals in the above : 549 0.35/0.56 # Current number of archived formulas : 0 0.35/0.56 # Current number of archived clauses : 246 0.35/0.56 # Clause-clause subsumption calls (NU) : 14936 0.35/0.56 # Rec. Clause-clause subsumption calls : 7416 0.35/0.56 # Non-unit clause-clause subsumptions : 55 0.35/0.56 # Unit Clause-clause subsumption calls : 573 0.35/0.56 # Rewrite failures with RHS unbound : 0 0.35/0.56 # BW rewrite match attempts : 245 0.35/0.56 # BW rewrite match successes : 66 0.35/0.56 # Condensation attempts : 486 0.35/0.56 # Condensation successes : 0 0.35/0.56 # Termbank termtop insertions : 43823 0.35/0.56 0.35/0.56 # ------------------------------------------------- 0.35/0.56 # User time : 0.060 s 0.35/0.56 # System time : 0.008 s 0.35/0.56 # Total time : 0.068 s 0.35/0.56 # Maximum resident set size: 3596 pages 0.35/0.56 0.35/0.56 # ------------------------------------------------- 0.35/0.56 # User time : 0.074 s 0.35/0.56 # System time : 0.010 s 0.35/0.56 # Total time : 0.083 s 0.35/0.56 # Maximum resident set size: 2176 pages 0.35/0.56 EOF