0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.36 % Computer : n027.cluster.edu 0.10/0.36 % Model : x86_64 x86_64 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.36 % Memory : 8046.5625MB 0.10/0.36 % OS : Linux 6.8.0-71-generic 0.10/0.36 % CPULimit : 1440 0.10/0.36 % WCLimit : 180 0.10/0.36 % DateTime : Mon Jul 27 10:01:07 UTC 2026 0.10/0.36 % CPUTime : 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.41 Running first-order theorem proving 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.81/0.68 % Version: 3.5.1 0.81/0.68 % Preprocessing class: FSLMSMSMSSSNFFN. 0.81/0.68 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.81/0.68 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 720s (4) cores 0.81/0.68 % Starting new_bool_3 with 360s (2) cores 0.81/0.68 % Starting new_bool_1 with 180s (1) cores 0.81/0.68 % Starting sh5l with 180s (1) cores 0.81/0.68 % new_bool_3 with pid 2893388 completed with status 0 0.81/0.68 % Result found by new_bool_3 0.81/0.68 % Preprocessing class: FSLMSMSMSSSNFFN. 0.81/0.68 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.81/0.68 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 720s (4) cores 0.81/0.68 % Starting new_bool_3 with 360s (2) cores 0.81/0.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.81/0.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.81/0.68 % Search class: FGHSM-FSLM32-MFFFFFNN 0.81/0.68 % Scheduled 12 strats onto 2 cores with 360 seconds (360 total) 0.81/0.68 % Starting SubtermCWHack with 33s (1) cores 0.81/0.68 % Starting new_bool_3 with 37s (1) cores 0.81/0.68 % new_bool_3 with pid 2893394 completed with status 0 0.81/0.68 % Result found by new_bool_3 0.81/0.68 % Preprocessing class: FSLMSMSMSSSNFFN. 0.81/0.68 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.81/0.68 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 720s (4) cores 0.81/0.68 % Starting new_bool_3 with 360s (2) cores 0.81/0.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.81/0.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.81/0.68 % Search class: FGHSM-FSLM32-MFFFFFNN 0.81/0.68 % Scheduled 12 strats onto 2 cores with 360 seconds (360 total) 0.81/0.68 % Starting SubtermCWHack with 33s (1) cores 0.81/0.68 % Starting new_bool_3 with 37s (1) cores 0.81/0.68 % Preprocessing time : 0.013 s 0.81/0.68 % Presaturation interreduction done 0.81/0.68 0.81/0.68 % Proof found! 0.81/0.68 % SZS status Theorem 0.81/0.68 % SZS output start CNFRefutation 0.81/0.68 fof(fact_333_insert__mono, axiom, ![X7, X46, X53]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X7,X46)),insert_a(X7,X53)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X46),X53)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_333_insert__mono)). 0.81/0.68 fof(conj_6, conjecture, hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_6)). 0.81/0.68 fof(conj_1, hypothesis, hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 0.81/0.68 fof(fact_337_image__insert, axiom, ![X19, X7, X6]:(image_pname_a(X19,insert_pname(X7,X6))=insert_a(hAPP_pname_a(X19,X7),image_pname_a(X19,X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_337_image__insert)). 0.81/0.68 fof(fact_264_insert__absorb, axiom, ![X7, X5]:((is_fun_pname_bool(X5)=>(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X7),X5))=>insert_pname(X7,X5)=X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_264_insert__absorb)). 0.81/0.68 fof(conj_4, hypothesis, hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_4)). 0.81/0.68 fof(gsy_v_U, hypothesis, is_fun_pname_bool(u), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_U)). 0.81/0.68 fof(c_0_7, plain, ![X7, X46, X53]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X46),X53))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X7,X46)),insert_a(X7,X53))))), inference(fof_simplification,[status(thm)],[fact_333_insert__mono])). 0.81/0.68 fof(c_0_8, plain, ![X625, X626, X627]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X626),X627))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X625,X626)),insert_a(X625,X627))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 0.81/0.68 fof(c_0_9, negated_conjecture, ~(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), inference(assume_negation,[status(cth)],[conj_6])). 0.81/0.68 cnf(c_0_10, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X3,X1)),insert_a(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.81/0.68 cnf(c_0_11, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))), inference(split_conjunct,[status(thm)],[conj_1])). 0.81/0.68 fof(c_0_12, plain, ![X225, X226, X227]:(image_pname_a(X225,insert_pname(X226,X227))=insert_a(hAPP_pname_a(X225,X226),image_pname_a(X225,X227))), inference(variable_rename,[status(thm)],[fact_337_image__insert])). 0.81/0.68 fof(c_0_13, plain, ![X641, X642]:((~is_fun_pname_bool(X642)|(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X641),X642))|insert_pname(X641,X642)=X642))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_264_insert__absorb])])])). 0.81/0.68 fof(c_0_14, negated_conjecture, ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), inference(fof_simplification,[status(thm)],[c_0_9])). 0.81/0.68 cnf(c_0_15, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,g)),insert_a(X1,image_pname_a(mgt_call,u))))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.81/0.68 cnf(c_0_16, plain, (image_pname_a(X1,insert_pname(X2,X3))=insert_a(hAPP_pname_a(X1,X2),image_pname_a(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.81/0.68 cnf(c_0_17, plain, (insert_pname(X2,X1)=X1|~is_fun_pname_bool(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.81/0.68 cnf(c_0_18, hypothesis, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))), inference(split_conjunct,[status(thm)],[conj_4])). 0.81/0.68 cnf(c_0_19, hypothesis, (is_fun_pname_bool(u)), inference(split_conjunct,[status(thm)],[gsy_v_U])). 0.81/0.68 fof(c_0_20, negated_conjecture, ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), inference(fof_nnf,[status(thm)],[c_0_14])). 0.81/0.68 cnf(c_0_21, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,X1),g)),image_pname_a(mgt_call,insert_pname(X1,u))))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.81/0.68 cnf(c_0_22, hypothesis, (insert_pname(pn,u)=u), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])). 0.81/0.68 cnf(c_0_23, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.81/0.68 cnf(c_0_24, hypothesis, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23]), ['proof']). 0.81/0.68 % SZS output end CNFRefutation 0.81/0.68 % Parsed axioms : 917 0.81/0.68 % Removed by relevancy pruning/SinE : 438 0.81/0.68 % Initial clauses : 722 0.81/0.68 % Removed in clause preprocessing : 37 0.81/0.68 % Initial clauses in saturation : 685 0.81/0.68 % Processed clauses : 1157 0.81/0.68 % ...of these trivial : 24 0.81/0.68 % ...subsumed : 296 0.81/0.68 % ...remaining for further processing : 837 0.81/0.68 % Other redundant clauses eliminated : 90 0.81/0.68 % Clauses deleted for lack of memory : 0 0.81/0.68 % Backward-subsumed : 1 0.81/0.68 % Backward-rewritten : 0 0.81/0.68 % Generated clauses : 1203 0.81/0.68 % ...of the previous two non-redundant : 865 0.81/0.68 % ...aggressively subsumed : 0 0.81/0.68 % Contextual simplify-reflections : 4 0.81/0.68 % Paramodulations : 1110 0.81/0.68 % Factorizations : 0 0.81/0.68 % NegExts : 0 0.81/0.68 % Equation resolutions : 96 0.81/0.68 % Disequality decompositions : 0 0.81/0.69 % Total rewrite steps : 522 0.81/0.69 % ...of those cached : 336 0.81/0.69 % Propositional unsat checks : 0 0.81/0.69 % Propositional check models : 0 0.81/0.69 % Propositional check unsatisfiable : 0 0.81/0.69 % Propositional clauses : 0 0.81/0.69 % Propositional clauses after purity: 0 0.81/0.69 % Propositional unsat core size : 0 0.81/0.69 % Propositional preprocessing time : 0.000 0.81/0.69 % Propositional encoding time : 0.000 0.81/0.69 % Propositional solver time : 0.000 0.81/0.69 % Success case prop preproc time : 0.000 0.81/0.69 % Success case prop encoding time : 0.000 0.81/0.69 % Success case prop solver time : 0.000 0.81/0.69 % Current number of processed clauses : 301 0.81/0.69 % Positive orientable unit clauses : 119 0.81/0.69 % Positive unorientable unit clauses: 5 0.81/0.69 % Negative unit clauses : 34 0.81/0.69 % Non-unit-clauses : 143 0.81/0.69 % Current number of unprocessed clauses: 837 0.81/0.69 % ...number of literals in the above : 1579 0.81/0.69 % Current number of archived formulas : 0 0.81/0.69 % Current number of archived clauses : 451 0.81/0.69 % Clause-clause subsumption calls (NU) : 25403 0.81/0.69 % Rec. Clause-clause subsumption calls : 17707 0.81/0.69 % Non-unit clause-clause subsumptions : 207 0.81/0.69 % Unit Clause-clause subsumption calls : 1938 0.81/0.69 % Rewrite failures with RHS unbound : 0 0.81/0.69 % BW rewrite match attempts : 391 0.81/0.69 % BW rewrite match successes : 23 0.81/0.69 % Condensation attempts : 0 0.81/0.69 % Condensation successes : 0 0.81/0.69 % Termbank termtop insertions : 93817 0.81/0.69 % Search garbage collected termcells : 13774 0.81/0.69 0.81/0.69 % ------------------------------------------------- 0.81/0.69 % User time : 0.143 s 0.81/0.69 % System time : 0.011 s 0.81/0.69 % Total time : 0.154 s 0.81/0.69 % Maximum resident set size: 7212 pages 0.81/0.69 0.81/0.69 % ------------------------------------------------- 0.81/0.69 % User time : 0.322 s 0.81/0.69 % System time : 0.031 s 0.81/0.69 % Total time : 0.353 s 0.81/0.69 % Maximum resident set size: 5888 pages 0.81/0.69 % E exiting 0.81/0.69 EOF