0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.10 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.10/0.30 % Computer : n009.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1920 0.10/0.30 % WCLimit : 240 0.10/0.30 % DateTime : Wed Jul 30 06:00:49 EDT 2025 0.10/0.30 % CPUTime : 0.16/0.41 Running higher-order 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=240 /export/starexec/sandbox2/tmp/tmp.gtRKGWJimf/E---3.1_11489.p 586.81/74.83 # Version: 3.0.0-ho 586.81/74.83 # Preprocessing class: HSLSSMSMSSSNSFA. 586.81/74.83 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 586.81/74.83 # Starting new_ho_10 with 720s (3) cores 586.81/74.83 # Starting sh2lt with 240s (1) cores 586.81/74.83 # Starting new_ho_5 with 240s (1) cores 586.81/74.83 # Starting full_lambda_5 with 240s (1) cores 586.81/74.83 # Starting sh9 with 240s (1) cores 586.81/74.83 # Starting ehoh_best8_lambda with 240s (1) cores 586.81/74.83 # new_ho_10 with pid 11567 completed with status 0 586.81/74.83 # Result found by new_ho_10 586.81/74.83 # Preprocessing class: HSLSSMSMSSSNSFA. 586.81/74.83 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 586.81/74.83 # Starting new_ho_10 with 720s (3) cores 586.81/74.83 # No SInE strategy applied 586.81/74.83 # Search class: HGUSM-SMLS31-MSFFFMBN 586.81/74.83 # partial match(2): HGHSM-SMLM31-MSFFFMBN 586.81/74.83 # Scheduled 5 strats onto 3 cores with 720 seconds (720 total) 586.81/74.83 # Starting new_ho_10 with 433s (1) cores 586.81/74.83 # Starting full_lambda_7 with 73s (1) cores 586.81/74.83 # Starting new_bool_8 with 73s (1) cores 586.81/74.83 # full_lambda_7 with pid 11578 completed with status 8 586.81/74.83 # Starting new_ho_11 with 73s (1) cores 586.81/74.83 # new_bool_8 with pid 11579 completed with status 8 586.81/74.83 # Starting post_as_ho9 with 68s (1) cores 586.81/74.83 # post_as_ho9 with pid 11669 completed with status 0 586.81/74.83 # Result found by post_as_ho9 586.81/74.83 # Preprocessing class: HSLSSMSMSSSNSFA. 586.81/74.83 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 586.81/74.83 # Starting new_ho_10 with 720s (3) cores 586.81/74.83 # No SInE strategy applied 586.81/74.83 # Search class: HGUSM-SMLS31-MSFFFMBN 586.81/74.83 # partial match(2): HGHSM-SMLM31-MSFFFMBN 586.81/74.83 # Scheduled 5 strats onto 3 cores with 720 seconds (720 total) 586.81/74.83 # Starting new_ho_10 with 433s (1) cores 586.81/74.83 # Starting full_lambda_7 with 73s (1) cores 586.81/74.83 # Starting new_bool_8 with 73s (1) cores 586.81/74.83 # full_lambda_7 with pid 11578 completed with status 8 586.81/74.83 # Starting new_ho_11 with 73s (1) cores 586.81/74.83 # new_bool_8 with pid 11579 completed with status 8 586.81/74.83 # Starting post_as_ho9 with 68s (1) cores 586.81/74.83 # Preprocessing time : 0.053 s 586.81/74.83 # Presaturation interreduction done 586.81/74.83 586.81/74.83 # Proof found! 586.81/74.83 # SZS status Theorem 586.81/74.83 # SZS output start CNFRefutation 586.81/74.83 thf(decl_sort1, type, a: $tType). 586.81/74.83 thf(decl_sort2, type, polyno727731844poly_a: $tType). 586.81/74.83 thf(decl_sort3, type, list_a: $tType). 586.81/74.83 thf(decl_28, type, times_times_a: a > a > a). 586.81/74.83 thf(decl_34, type, polyno422358502poly_a: list_a > polyno727731844poly_a > a). 586.81/74.83 thf(decl_72, type, polyno1934269411ymul_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a). 586.81/74.83 thf(decl_85, type, p: polyno727731844poly_a). 586.81/74.83 thf(decl_86, type, q: polyno727731844poly_a). 586.81/74.83 thf(decl_123, type, esk37_0: list_a). 586.81/74.83 thf(conj_0, conjecture, ((polyno1934269411ymul_a @ p @ q)=(polyno1934269411ymul_a @ q @ p)), file('/export/starexec/sandbox2/tmp/tmp.gtRKGWJimf/E---3.1_11489.p', conj_0)). 586.81/74.83 thf(fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062, axiom, (![X269:list_a]:(((polyno422358502poly_a @ X269 @ (polyno1934269411ymul_a @ p @ q))=(polyno422358502poly_a @ X269 @ (polyno1934269411ymul_a @ q @ p))))<=>((polyno1934269411ymul_a @ p @ q)=(polyno1934269411ymul_a @ q @ p))), file('/export/starexec/sandbox2/tmp/tmp.gtRKGWJimf/E---3.1_11489.p', fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062)). 586.81/74.83 thf(fact_132_mult_Ocommute, axiom, ((times_times_a)=(^[X222:a, X223:a]:(times_times_a @ X223 @ X222))), file('/export/starexec/sandbox2/tmp/tmp.gtRKGWJimf/E---3.1_11489.p', fact_132_mult_Ocommute)). 586.81/74.83 thf(fact_10_polymul, axiom, ![X17:list_a, X128:polyno727731844poly_a, X129:polyno727731844poly_a]:(((polyno422358502poly_a @ X17 @ (polyno1934269411ymul_a @ X128 @ X129))=(times_times_a @ (polyno422358502poly_a @ X17 @ X128) @ (polyno422358502poly_a @ X17 @ X129)))), file('/export/starexec/sandbox2/tmp/tmp.gtRKGWJimf/E---3.1_11489.p', fact_10_polymul)). 586.81/74.83 thf(c_0_4, negated_conjecture, ((polyno1934269411ymul_a @ p @ q)!=(polyno1934269411ymul_a @ q @ p)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 586.81/74.83 thf(c_0_5, plain, ![X2348:list_a]:(((((polyno422358502poly_a @ esk37_0 @ (polyno1934269411ymul_a @ p @ q))!=(polyno422358502poly_a @ esk37_0 @ (polyno1934269411ymul_a @ q @ p)))|((polyno1934269411ymul_a @ p @ q)=(polyno1934269411ymul_a @ q @ p)))&(((polyno1934269411ymul_a @ p @ q)!=(polyno1934269411ymul_a @ q @ p))|((polyno422358502poly_a @ X2348 @ (polyno1934269411ymul_a @ p @ q))=(polyno422358502poly_a @ X2348 @ (polyno1934269411ymul_a @ q @ p)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062])])])])])). 586.81/74.83 thf(c_0_6, negated_conjecture, ((polyno1934269411ymul_a @ p @ q)!=(polyno1934269411ymul_a @ q @ p)), inference(fof_nnf,[status(thm)],[c_0_4])). 586.81/74.83 thf(c_0_7, plain, ![X1446:a, X1447:a]:(((times_times_a @ X1446 @ X1447)=(times_times_a @ X1447 @ X1446))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_132_mult_Ocommute])])). 586.81/74.83 thf(c_0_8, plain, (((polyno1934269411ymul_a @ p @ q)=(polyno1934269411ymul_a @ q @ p))|((polyno422358502poly_a @ esk37_0 @ (polyno1934269411ymul_a @ p @ q))!=(polyno422358502poly_a @ esk37_0 @ (polyno1934269411ymul_a @ q @ p)))), inference(split_conjunct,[status(thm)],[c_0_5])). 586.81/74.83 thf(c_0_9, negated_conjecture, ((polyno1934269411ymul_a @ p @ q)!=(polyno1934269411ymul_a @ q @ p)), inference(split_conjunct,[status(thm)],[c_0_6])). 586.81/74.83 thf(c_0_10, plain, ![X1678:list_a, X1679:polyno727731844poly_a, X1680:polyno727731844poly_a]:(((polyno422358502poly_a @ X1678 @ (polyno1934269411ymul_a @ X1679 @ X1680))=(times_times_a @ (polyno422358502poly_a @ X1678 @ X1679) @ (polyno422358502poly_a @ X1678 @ X1680)))), inference(variable_rename,[status(thm)],[fact_10_polymul])). 586.81/74.83 thf(c_0_11, plain, ![X1851:a, X1852:a]:(((times_times_a @ X1851 @ X1852)=(times_times_a @ X1852 @ X1851))), inference(variable_rename,[status(thm)],[c_0_7])). 586.81/74.83 thf(c_0_12, plain, ((polyno422358502poly_a @ esk37_0 @ (polyno1934269411ymul_a @ q @ p))!=(polyno422358502poly_a @ esk37_0 @ (polyno1934269411ymul_a @ p @ q))), inference(sr,[status(thm)],[c_0_8, c_0_9])). 586.81/74.83 thf(c_0_13, plain, ![X2:polyno727731844poly_a, X17:list_a, X4:polyno727731844poly_a]:(((polyno422358502poly_a @ X17 @ (polyno1934269411ymul_a @ X2 @ X4))=(times_times_a @ (polyno422358502poly_a @ X17 @ X2) @ (polyno422358502poly_a @ X17 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_10])). 586.81/74.83 thf(c_0_14, plain, ![X3:a, X1:a]:(((times_times_a @ X1 @ X3)=(times_times_a @ X3 @ X1))), inference(split_conjunct,[status(thm)],[c_0_11])). 586.81/74.83 thf(c_0_15, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_13])]), ['proof']). 586.81/74.83 # SZS output end CNFRefutation 586.81/74.83 # Parsed axioms : 426 586.81/74.83 # Removed by relevancy pruning/SinE : 0 586.81/74.83 # Initial clauses : 1313 586.81/74.83 # Removed in clause preprocessing : 122 586.81/74.83 # Initial clauses in saturation : 1191 586.81/74.83 # Processed clauses : 344 586.81/74.83 # ...of these trivial : 20 586.81/74.83 # ...subsumed : 29 586.81/74.83 # ...remaining for further processing : 295 586.81/74.83 # Other redundant clauses eliminated : 51 586.81/74.83 # Clauses deleted for lack of memory : 0 586.81/74.83 # Backward-subsumed : 0 586.81/74.83 # Backward-rewritten : 3 586.81/74.83 # Generated clauses : 46 586.81/74.83 # ...of the previous two non-redundant : 7 586.81/74.83 # ...aggressively subsumed : 0 586.81/74.83 # Contextual simplify-reflections : 0 586.81/74.83 # Paramodulations : 0 586.81/74.83 # Factorizations : 0 586.81/74.83 # NegExts : 0 586.81/74.83 # Equation resolutions : 51 586.81/74.83 # Disequality decompositions : 0 586.81/74.83 # Total rewrite steps : 86 586.81/74.83 # ...of those cached : 43 586.81/74.83 # Propositional unsat checks : 0 586.81/74.83 # Propositional check models : 0 586.81/74.83 # Propositional check unsatisfiable : 0 586.81/74.83 # Propositional clauses : 0 586.81/74.83 # Propositional clauses after purity: 0 586.81/74.83 # Propositional unsat core size : 0 586.81/74.83 # Propositional preprocessing time : 0.000 586.81/74.83 # Propositional encoding time : 0.000 586.81/74.83 # Propositional solver time : 0.000 586.81/74.83 # Success case prop preproc time : 0.000 586.81/74.83 # Success case prop encoding time : 0.000 586.81/74.83 # Success case prop solver time : 0.000 586.81/74.83 # Current number of processed clauses : 246 586.81/74.83 # Positive orientable unit clauses : 135 586.81/74.83 # Positive unorientable unit clauses: 4 586.81/74.83 # Negative unit clauses : 35 586.81/74.83 # Non-unit-clauses : 72 586.81/74.83 # Current number of unprocessed clauses: 854 586.81/74.83 # ...number of literals in the above : 7582 586.81/74.83 # Current number of archived formulas : 0 586.81/74.83 # Current number of archived clauses : 3 586.81/74.83 # Clause-clause subsumption calls (NU) : 3604 586.81/74.83 # Rec. Clause-clause subsumption calls : 3193 586.81/74.83 # Non-unit clause-clause subsumptions : 29 586.81/74.83 # Unit Clause-clause subsumption calls : 813 586.81/74.83 # Rewrite failures with RHS unbound : 0 586.81/74.83 # BW rewrite match attempts : 44 586.81/74.83 # BW rewrite match successes : 44 586.81/74.83 # Condensation attempts : 0 586.81/74.83 # Condensation successes : 0 586.81/74.83 # Termbank termtop insertions : 107767 586.81/74.83 # Search garbage collected termcells : 11886 586.81/74.83 586.81/74.83 # ------------------------------------------------- 586.81/74.83 # User time : 145.447 s 586.81/74.83 # System time : 0.761 s 586.81/74.83 # Total time : 146.207 s 586.81/74.83 # Maximum resident set size: 5904 pages 586.81/74.83 586.81/74.83 # ------------------------------------------------- 586.81/74.83 # User time : 215.565 s 586.81/74.83 # System time : 2.369 s 586.81/74.83 # Total time : 217.934 s 586.81/74.83 # Maximum resident set size: 2456 pages 586.81/74.83 % E exiting 586.81/74.83 % E exiting 586.81/74.83 EOF